mvqpfFix — Mathlib

English

There is a full MvQPF instance for Fix F, with P, abs, repr, abs_repr, and abs_map defined so that Fix F inherits the mvqpf structure from F.

Русский

Существует полная структура MvQPF на Fix F, с P, abs, repr, abs_repr, abs_map, обеспечивающая наследование структуры mvqpf.

LaTeX

$$instance mvqpfFix : MvQPF (Fix F) where P := q.P.wp; abs α := Quot.mk WEquiv α; repr α := fixToW α; abs_repr := by ...; abs_map := by ...$$

Lean4

instance mvqpfFix : MvQPF (Fix F) where
  P := q.P.wp
  abs α := Quot.mk WEquiv α
  repr α := fixToW α
  abs_repr := by
    intro α
    apply Quot.ind
    intro a
    apply Quot.sound
    apply wrepr_equiv
  abs_map := by
    intro α β g x
    conv =>
      rhs
      dsimp [MvFunctor.map]
    rfl

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