coe_piCongr' — Mathlib

English

The simplification of the coe for piCongr' is immediate by definition.

Русский

Упрощение коэффициента для piCongr' следует непосредственно из определения.

LaTeX

$$$\\big((h_1.piCongr' h_2)\\big) = \\text{definition that sends } f \\mapsto (b \\mapsto h_2(b)(f(h_1^{-1}(b))))$$$

Lean4

@[simp]
theorem coe_piCongr' : (h₁.piCongr' h₂ : (∀ a, W a) → ∀ b, Z b) = fun f b => h₂ b <| f <| h₁.symm b :=
  rfl

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