Short — Mathlib

English

Alternative natCast compatibility for toPGame via quotients.

Русский

Альтернативная совместимость natCast для toPGame через фактор-множества.

LaTeX

$$toPGame_natCast : \forall m:\mathbb{N}, m.cast.toPGame \equiv m.cast$$

Lean4

/-- A short game is a game with a finite set of moves at every turn. -/
inductive Short : PGame.{u} → Type (u + 1)
  |
  mk :
    ∀ {α β : Type u} {L : α → PGame.{u}} {R : β → PGame.{u}} (_ : ∀ i : α, Short (L i)) (_ : ∀ j : β, Short (R j))
      [Fintype α] [Fintype β], Short ⟨α, β, L, R⟩

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