pith. machine review for the scientific record. sign in
inductive

Primitive

definition
show as:
view math explainer →
module
IndisputableMonolith.Ethics.Virtues.NormalForm
domain
Ethics
line
18 · github
papers citing
none yet

open explainer

Generate a durable explainer page for this declaration.

open lean source

IndisputableMonolith.Ethics.Virtues.NormalForm on GitHub at line 18.

browse module

All declarations in this module, on Recognition.

explainer page

Tracked in the explainer inventory; generation is lazy so crawlers do not trigger LLM jobs.

open explainer

depends on

used by

formal source

  15open Finset
  16
  17/-- Primitive generators in fixed canonical order. -/
  18inductive Primitive
  19  | Love | Justice | Forgiveness | Wisdom | Courage | Temperance | Prudence
  20  | Compassion | Gratitude | Patience | Humility | Hope | Creativity | Sacrifice
  21  deriving DecidableEq, Repr
  22
  23/-- Canonical primitive order as a list. -/
  24def primitiveOrderList : List Primitive :=
  25  [ Primitive.Love, Primitive.Justice, Primitive.Forgiveness,
  26    Primitive.Wisdom, Primitive.Courage, Primitive.Temperance,
  27    Primitive.Prudence, Primitive.Compassion, Primitive.Gratitude,
  28    Primitive.Patience, Primitive.Humility, Primitive.Hope,
  29    Primitive.Creativity, Primitive.Sacrifice ]
  30
  31lemma primitive_mem_order (p : Primitive) : p ∈ primitiveOrderList := by
  32  cases p <;> simp [primitiveOrderList]
  33
  34lemma primitiveOrderList_nodup : primitiveOrderList.Nodup := by
  35  unfold primitiveOrderList
  36  decide
  37
  38/-- Micro moves: (pair scope, primitive, coefficient). -/
  39structure MicroMove where
  40  pair : ℕ
  41  primitive : Primitive
  42  coeff : ℝ
  43
  44namespace MicroMove
  45
  46/-- Canonical micro-move normal form: coefficient table with finite support. -/
  47@[ext]
  48structure NormalForm where