mvqpf — Mathlib

English

The projection functor Prj i is equipped with a QPF structure, using P := Prj.P i, abs := Prj.abs, and repr := Prj.repr, with the standard laws abs_repr and abs_map ensuring compatibility.

Русский

Функтор проекции Prj_i получает структуру QPF: P := Prj.P_i, abs := Prj.abs, repr := Prj.repr, с законами abs_repr и abs_map.

LaTeX

$$$MvQPF.Prj.mvqpf(i) : MvQPF (MvQPF.Prj i) \\\\text{ with } P := Prj.P i,\\; abs := Prj.abs,\\; repr := Prj.repr,\\; abs_repr := rfl,\\; abs_map := (by intros; cases p; rfl).$$$

Lean4

instance mvqpf : MvQPF (Prj i) where
  P := Prj.P i
  abs := @Prj.abs _ i
  repr := @Prj.repr _ i
  abs_repr := by intros; rfl
  abs_map := by intro α β f P; cases P; rfl

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