sigmaCongrRight_symm — Mathlib

English

Symmetry of the sigma-congruence: (sigmaCongrRight F).symm = sigmaCongrRight (λ a, (F a).symm).

Русский

Симметрия сигма-конгруэнтности: (sigmaCongrRight F).symm = sigmaCongrRight (λ a, (F a).symm).

LaTeX

$$$$(\sigmaCongrRight F).\text{symm} = \sigmaCongrRight (\lambda a, (F a).symm).$$$$

Lean4

@[grind =]
theorem sigmaCongrRight_symm {α} {β₁ β₂ : α → Type*} (F : ∀ a, β₁ a ≃ β₂ a) :
    (sigmaCongrRight F).symm = sigmaCongrRight fun a => (F a).symm :=
  rfl

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