1. Insight

1. Element's consecution is Parallel (cross nest-layer/vertical) and Nested (cross-nest/horizontal) from Upper-Level Line. Check [[Smart Order List/README#2.3 Consecution Principle (interaction)]] 1.1 Parallel Principle (same-layer nest): Parallel lists apply self-consistent consecution with each other in default 1.2 Nest Principle (higher-grade layer, lower-grade layer)
2. Proactive behavior 2.1 double Enter #style 2.2 Manual initial #style 2.3 Insert \ before prefix's . #silence
3. Passive behavior 3.1 single Enter 3.2 Space 3.3 Tab

2. Rule

Strive to make Rule self-consistent and achieve logical closed loop

2.1 Styles

2.1.1 Element Introduction

• Element, the smallest component of a list's prefix
• $Digit = {\emptyset,1,2,3,4}$
• Prefix: {Element} + {Digit}
• List: {Prefix} (Prefix Header)
• Mixture: Checkbox×{Ordered List} (Prefix Header + Prefix Tail)
• Line: {List, Mixture}

2.1.2 Addition

• Prefix
  • Grey-Text-Prefix and Indent-Prefix
  • Single-Digit: End with .
  • Multi-Digit: . should and only separate every two Elements
  • Smart Prefix Distance (Reading mode)

    • Distance Logic

      • In 2-digit-prefix layer
        • 2ch
      • Latter layer
        • $Distance = ((num_element * 1ch) + (num_dot * 0.3ch)) + 2ch$
• Ordered List
  • Digit, the smallest unit of an Ordered List's Prefix. $Digit = {1,2,3,4}$
    • 1 Element in 1 Digit per Prefix
    • Max 4 digits per prefix: W.X.Y.Z
    • Initialized last-digit is customizable i.e. 1.1 > 1.a
  • By Rule, max 3 element-types per prefix
    • element option: Numeral.1, Alphabet.1, Alphabet.2
• Unordered List
  • 1 Element per Prefix
• other tips:
  • Insert Order in Heading ### through manipulating Obsidian Outline
  • Manual shuffle relieves disorder

2.2 Item Tree

2.2.1 All items

• Line (247)
  • List (parallel&nest) (124)
    1. Single-Digit List (single-element) (7)
       • Ordered (5)
       • Unordered (2)
    2. Multi-Digit List #mix_prefix #nested (117)
       • Ordered, element: Numeral.1, Alphabet.1, Alphabet.2
         • Single-Element
         • Multi-Element
  • Mixture #mix_list (123)
    • Checkbox×{Ordered List} (123)
      1. Checkbox-{Ordered List} #prepend #unordered (122)
      2. Numeral.1-Checkbox #append #ordered (1)
• Digit is exclusive to Ordered Element, thus Unordered List is Non-Digit
• Ordered List nests beneath Ordered List must be nested prefix, and the new nested digit is customizable (always in digit rule)
• Mixture's Prefix consists of Header and Tail (Tail exclusive to Mixture), check [[Smart Order List/README#2.4.2 Mix_List Permutation (Mixture)]]

2.2.2 Classification

Better convenient view for various study scenarios Element > List, Checkbox × {Ordered List} > Mixture

1. By Digit 1.1 Single-Digit 1.2 Multi-Digit 1.3 Non-Digit - Unordered List
2. By Prefix
   • Classifier 1
     1. Primary Prefix
        • List
        • Mixture
     2. Multi-Digit Prefix
        • Ordered List
        • Mixture
   • Classifier 2
     1. Ordered Prefix
        • Ordered List
        • Mixture
     2. Unordered Prefix
        • Unordered List
3. By Element primary_type 3.1 Ordered - Ordered List - Single-Digit List - Multi-Digit List - Mixture: Numeral.1-Checkbox 3.2 Unordered - Unordered List - Mixture: Checkbox-{Ordered List}
4. By Nest 4.1 Root Nest 4.2 Parent Nest 4.3 Child Nest
5. By Prefix Header and Tail of Mixture
   • Checkbox×{Ordered List}
     1. Checkbox-{Ordered List}
        • Checkbox #unordered
     2. Numeral.1-Checkbox
        • Numeral.1 #ordered

2.2.3 Discrimination

1. Non-Nest Discrimination: $$\text{Non-Nest List} \subsetneq (\text{Single-Digit List} \cap \text{Single-Element List})$$

   Non-Nest List is a strict subset of Single-Digit List, also a strict subset of Single-Element List

2. Nest Discrimination: $$\text{Nested Prefix (multi-digit) Line} \subsetneq \text{Nested List}$$

   Nested Prefix (multi-digit) Line is a strict subset of Nested List

3. Multi Discrimination: $$\text{Multi-Element List} \subsetneq \text{Multi-Digit List}$$

   Multi-Element List is a strict subset of Multi-Digit List Study by Object

2.3 Consecution Principle (interaction)

• Consecution Principle refers to the effect arisen from the Upper-Level Line ==right above== (closest-nest) the typing one
• Study, extract, conclude and distill Principle from all case permutations

---

• Level: for describing the Line position
• Line: paragraph line level
  • {parallel, nested} #nest
  • {upper-level, lower-level} (relative&absolute) #vertical
  • {above, inline, beneath} (relative) #vertical
• Layer: {higher-grade, lower-grade}, for describing the nesting extent
• Nest: #horizontal
  • {higher-layer, lower-layer} (relative)
  • {primary, child} (absolute)
  • {root, parent, child} (property+relative)

2.3.1 Initial Shuffle Mechanism

About the initialization of Initial-Value Line Rule: Shuffle Last-Digit Element and succeed Other-Digit from Consecutive Parent-Nest Line

• [-] $Digit = {\emptyset, 1, 2, 3, 4}$
  • Initialize Last-Digit Element with initial value
• Special Case: check [[Smart Order List/README#2.3.2.1 Prefix Rollback Mechanism]]
  • Exceeded Digit
    • [-] $Digit > 4$
    • [-] Exceeding-1-Digit Numeral.2
    • [-] Exceeding-1-Digit Chinese
• By Rule:
  • Ordered Primary-Prefix in Child-Nest only beneath Unordered List
  • Multi-Digit Prefix must be in nested line

2.3.2 Subsequent Prefix Rewrite Mechanism

About the Line status in Subsequent-Value Line Rule: Increment Last-Digit Element and succeed Other-Digit from Consecutive Upper-Level Line

2.3.2.1 Prefix Rollback Mechanism

Rule: Rollback prohibited Prefix Line to Bullet List and keep the Nest Layer

• Exceeded-Digit Prefix Rollback
  • [-] $Digit > 4$
  • Exceeding-1-Digit Ordered List Rollback
    • Numeral.2 (parenthesized) ^8b482e
    • Chinese ^8b481e

2.3.2.2 Error Correction Mechanism

Correct Last-Digit Element with Unconsecutive-Value to self-consistent Element with consecutive value

• Rule: When Lower-Level Line manually initializes the Last-Digit Element with Unconsecutive-Value, the Element should be corrected to self-consistent Element with subsequent value by [[Smart Order List/README#2.3.2 Subsequent Prefix Rewrite Mechanism]], or self-consistent Element with initial value by [[Smart Order List/README#2.3.1 Initial Shuffle Mechanism]]
  • "self-consistent Element" respects the intention of manual typing, but Prefix's priority is over Plain Content
  • "value correction" gives more room for fault-tolerance
• Flow: Error triggers Correction
  1. [-] Last-Digit Element is inconsistent with Upper-Line, and with Uninitial-Value
     • Initial Shuffle by [[Smart Order List/README#2.3.1 Initial Shuffle Mechanism]]
  2. [-] Last-Digit Element is consistent with Upper-Line, but with Unsubsequent-Value
     • Subsequent Prefix Rewrite by [[Smart Order List/README#2.3.2 Subsequent Prefix Rewrite Mechanism]]

Instance

step_0

1. 1 L.

step_1

• Append Space in manual initialized line 2 beneath Numeral.1 Line line 1 to stylize it

outcome

1. 1 A.

   Line 2 is corrected to self-consistent Element Alphabet.1 with consecutive value initial value A.

2.3.3 Exit Consecution Mechanism trigger

About the Line status after Severance, Trigger is the intermediate

• Inconsistent Parallel Line
  • Parallel ==Inconsistent== Prefix Header (List + Mixture)
    • Ordered
      • Ordered List
      • [-] Mixture: Numeral.1-Checkbox
    • Unordered
      • [-] Unordered List
      • [-] Mixture: Checkbox-{Ordered List} (special case check Prefix Tail)
  • Parallel ==Inconsistent== Prefix ==Tail== (List has no Prefix Tail)
    • [-] Mixture: Checkbox-{Ordered List}
  • [-] Parallel Codeblock e.g. ```, ~~~
    • Cut off Consecution (external)
    • Ban to respect Raw Codes (internal)
  • Parallel Callout e.g. > [!NOTE]
• Inconsistent Unparallel Line
  • Inconsistent Parent-Nest Line (closest-nest is default by Rule)
• [-] Heading e.g. ###
• [-] Dividing Line e.g. ---

2.3.4 Maintain Consecution Mechanism trigger

• About the Line status after Severance, Trigger is the intermediate
• Tips : Same Line would succeed
• Note: Must distinguish Parameter from pure Classifier, especially in Test's naming. (solution: Title takes with Parameter)

• Consistent Parallell Line
  • Parallel Consistent Prefix Header (List + Mixture)
    • Ordered
      • [-] Ordered List #succeed
      • [-] Mixture: Numeral.1-Checkbox #succeed #half-succeed
    • Unordered
      • [-] Unordered List #succeed
      • [-] Mixture: Checkbox-{Ordered List} #succeed #half-succeed (special case check Prefix Tail)
  • Parallel Consistent Prefix ==Tail== (List has no Prefix Tail)
    • [-] Mixture: Checkbox-{Ordered List} #succeed
• Unparallel Line
  • [-] Consistent Parent-Nest Line #succeed
  • [-] Lower-Layer Nest Line #non-effect
• [-] Blockquote > #non-effect
• [-] Plain Line #non-effect
• Unordered Prefix doesn't maintain consecution after severance
• Lower-Level Line (default) #non-effect

2.4 Mix Principle

$$\text {Mix Principle} = \text {{mix_prefix (Ordered List), mix_list (Mixture)}} $$

Unordered List is not internally mixable

2.4.1 Mix_Prefix Permutation (Ordered List)

Multi-Digit Ordered List (only in Nested-Line)

2.4.2 Mix_List Permutation (Mixture)

• Rule: Mixture = Checkbox × {Ordered List}
• {Ordered List} follows [[Smart Order List/README#2.4.1 Mix_Prefix Permutation (Ordered List)]]

• As for the left Mix scenarios, content in tail should be treated as Normal Content instead of Prefix. I.e. neither Prefix Rewrite Mechanism nor Mix_List could effect.

3. Typography

3.1 Inline Hotkey

• Rule:
  • Ordered-Prefix Hotkey (Numeral.1) effects Last-Digit Element, and Cooperate with [[Smart Order List/README#2.3.1 Initial Shuffle Mechanism]] and [[Smart Order List/README#2.3.2 Subsequent Prefix Rewrite Mechanism]]
  • Bullet Hotkey effects the Line's complete Prefix
  • Checkbox Hotkey effects Prefix-Tail

3.2 Parallel-Nest Ordered-Prefix

Last-Digit Element

• More to check [[Smart Order List/README#2.4.2 Mix_List Permutation (Mixture)]]

3.3 Child-Nest Ordered-Prefix

Last-Digit Element Child-Nest Ordered-Prefix is Multi-Digit Ordered-Prefix

4. Test Case

Should conduct all the Analogical Reasoning tests

1. Consecution Principle > Initial Shuffle Mechanism

Case_1-1: $Digit = {\emptyset, 1, 2, 3, 4}$ #success

Instance $Digit = {3}$

step_0

1. a 1.1 b 1.2 c

step_1

• Append Tab in line 3 to stylize

  Line 3 is expected to initialize itself in new nest with 3 digits

outcome

1. a 1.1 b 1.1.1 c

The Last-Digit Element of line 3 (the third-digit) successfully initialized with initia-value 1

Case_1-2: Exceeded Digit > $Digit > 4$ #success

Instance (Rollback)

step_0

1. a 1.1 b 1.1.1 c 1.1.1.1 d 1.1.1.2 e

step_1

• Append Tab in line 5 to stylize

  Line 5 is expected to initialize itself in new nest with 5 digits

outcome

1. a 1.1 b 1.1.1 c 1.1.1.1 d - e - f
   • g

• h

  • Line 5 successfully rollbacked to Bullet List
  • others: Bullet List in line 5-8 successfully stylized as native Bullet dot style

Case_1-3: Exceeded Digit > Exceeding-1-Digit Numeral.2 #success

Instance (Rollback)

step_0

(1) 1 (2) 2 (3) 3

step_1

• Append Tab in line 3 to stylize

  Line 3 is expected to initialize itself in new nest with 2 digits

outcome

(1) 1 (2) 2 - 3

• Line 3 successfully rollbacked to Bullet List
• Bullet List in line 3 successfully indented and stylized as native Bullet dot

Case_1-4: Exceeded Digit > Exceeding-1-Digit Chinese #success

Instance (Rollback)

step_0

一、 1 二、 2 三、 3

step_1

• Append Tab in line 3 to stylize

  Line 3 is expected to initialize itself in new nest with 2 digits

outcome

一、 1 二、 2 - 3

• Line 3 successfully rollbacked to Bullet List
• Bullet List in line 3 successfully indented and stylized as native Bullet dot

2. Consecution Principle > Subsequent Prefix Rewrite Mechanism

Case_2-1: Prefix Rollback Mechanism #success

• Review case:
  • [[Smart Order List/README#Case_1-2 Exceeded Digit > $Digit > 4$ success]]
  • [[Smart Order List/README#Case_1-3 Exceeded Digit > Exceeding-1-Digit Numeral.2 success]]
  • [[Smart Order List/README#Case_1-4 Exceeded Digit > Exceeding-1-Digit Chinese success]]

Case_2-2: Error Correction Mechanism > Last-Digit Element is inconsistent with Upper-Line, and with Uninitial-Value #success

Instance

step_0

a. 1 5.

step_1

• Append Space in line 5 to stylize

outcome

a. 1

1.

Line 2 is successfully corrected to self-consistent Element with consecutive value by Initial Shuffle

Case_2-3: Error Correction Mechanism > Last-Digit Element is consistent with Upper-Line, but with Unsubsequent-Value #success

Instance

step_0

1. 1

step_11

• Append Space in line 2 to stylize

outcome

1. 1

Line 2 is successfully corrected to self-consistent Element with consecutive value by Subsequent Prefix Rewrite

3. Consecution Principle > Exit Consecution Mechanism

Case_3-1: Parallel Inconsistent Prefix Header > Ordered List #success

Instance_1

step_0

1. 1 a. 2

step_1

• Append Space in line 3 to stylize and type

outcome

1. 1 a. 2

Line 2 is Alphabet.2 in inconsistent prefix header from line 1 Line 3 successfully exited consecution from line 1 (initial shuffle)

Case_3-2: Parallel Inconsistent Prefix Header > Mixture: Numeral.1-Checkbox #success

Instance

step_0

a. 1

1. 2 a.

step_1

• Append Space in line 3

outcome

a. 1

1. 2 a.

   Line 2 is Numeral.1 in prefix header inconsistent from Alphabet.2 in line 1 Line 3 successfully exited consecution from line 1 (initial shuffle)

Case_3-3: Parallel Inconsistent Prefix Header > Unordered List #success

Instance

1. 1

• 2

1. 3

   Line 3 successfully exited consecution from Numeral.1 in line 1

Case_3-4: Parallel Inconsistent Prefix Header > Mixture: Checkbox-{Ordered List} #success

Instance

a. 1

• 1. 2 a. 3.

     Line 3 below inconsistent Prefix Header Checkbox in line 2 Mixture, successfully exited consecution from Alphabet.2 in line 1

Case_3-5: Parallel Inconsistent Prefix Tail > Mixture: Checkbox-{Ordered List} #success

Instance_1

• 1. 1
• a. 2
• 1. 3

     Line 3 below Prefix Tail Alphabet.2 in line 2 Mixture, successfully exited consecution from Prefix Tail Numeral.1 in line 1

Case_3-6: Parallel Codeblock #success

Instance

a. 1

2

a. 3

Last line beneath parallel Codeblock successfully exited consecution from Alphabet.2 in line 1

Case_3-7: Parallel Callout #success

Instance

step_0

1. 1

   [!NOTE] Title 2

step_1

• Append Space in last line to stylize

outcome

1. 1

   [!NOTE] Title 2

2. 3

   Last line beneath parallel Callout successfully exited consecution from Numeral.1 in line 1

Case_3-8: Inconsistent Parent-Nest Line #success

Instance

step_0

1. 1
   • 2
     • 3

step_1

• Append Numeral Hotkey in line 3

outcome

1. 1
   • 2
     1. 3

Line 3's Inconsistent Parent-Nest Line is line 2 Line 3 successfully exited consecution from Numeral.1 in line 1

Case_3-9: Heading #success

Instance

1. 1

2

1. 3

   Line 3 beneath Heading successfully exited consecution from Numeral.1

Case_3-10: Dividing Line #success

Instance

1. 1

1. 2

4. Consecution Principle > Maintain Consecution Mechanism

Case_4-1: Parallel Consistent Prefix Header > Ordered List #succeed #success

Instance

a. 1 b. 2 c. 3

Line 3 successfully maintained consecution from line 1 and succeeded line 2 in Alphabet.2

Case_4-2: Parallel Consistent Prefix Header > Mixture: Numeral.1-Checkbox #succeed #half-succeed #success

Instance #half-succeed

1. 1
2. 2
3. 3

   Line 3 beneath Parallel Consistent Prefix Header Numeral.1 in line 2, successfully maintained consecution from line 1 and half-succeeded line 2 in Numeral.1

Case_4-3: Parallel Consistent Prefix Header > Unordered List #succeed #success

Instance

• 1
• 2
• 3

  Line 3 successfullly maintained from line 1 and succeeded from line 2 in Bullet

Case_4-4: Parallel Consistent Prefix Header > Mixture: Checkbox-{Ordered List} #succeed #half-succeed #success

Instance_1 #half-succeed

• 1
• a. 2
• 3

  Line 3 beneath Parallel Consistent Prefix Header Checkbox in line 2 Mixture, successfully maintained consecution from Checkbox in line 1 and half-succeeded line 2 in Checkbox

Instance_2 #half-succeed

• a. 1
• 1. 2
• a. 3

  Line 3 beneath Parallel Consistent Prefix Header Checkbox in line 2, successfully maintained from Checkbox in line 1 and half-succeeded line 2

Case_4-5: Parallel Consistent Prefix Tail > Mixture: Checkbox-{Ordered List} #succeed #success

Instance_1

• 1. 1
• 2. 2
• 3. 3

     Line 3 beneath line 2 successfully maintained consecution from Numeral.1 in line 1 and succeeded line 2 in Prefix Tail Numeral.1 Note: Prefix Tail is exclusive to Mixture, so Parallel Consistent Prefix Tail means the same Mixture in both header and tail i.e. last line should succeed the upper line

Instance_2 #dialectic

1. 1

• 1. 2

1. 3

   Attention: List has no Prefix Tail. Instance_2 is dialectic instance to relieve potential concern of Parallel Consistent Prefix Tail Case Line 3 successfully neither maintained consecution from Numeral.1 in line 1 nor half-succeeded line 2, although it seems to share the same Prefix Tail Numeral.1 with line 2 Mixture which is illegal

Case_4-6: Unparallel Line > Consistent Parent-Nest Line #succeed #success

Instance

1. 1 1.1 2 1.1.1 3

Line 3 successfully maintained consecution from Numeral.1 in line 1 and succeeded from line 2

Case_4-7: Unparallel Line > Lower-Layer Nest Line #non-effect #success

Instance

1. 1 1.a 2
2. 3

   Line 3 beneath Lower-Layer Nest Line line 2, successfully maintained from Numeral.1 in line 1 and line 2 has non-effect

Case_4-8: Blockquote > #non-effect #success

Instance

1. 1

   2

2. 3

   Line 3 is successfully uneffected by Blockquote in line 2

Case_4-9: Plain Line (non-List) #non-effect #success

Instance

1. 1 2
2. 3

   Line 3 is successfully uneffected from Plain Line in line 2