funCongrLeft_symm — Mathlib

English

The funCongrLeft construction is self-inverse with respect to taking opposites: (funCongrLeft R M e).symm = funCongrLeft R M e.symm.

Русский

Конглев слева равен своей постройке — противоположности: (funCongrLeft R M e).symm = funCongrLeft R M e.symm.

LaTeX

$$$ (\mathrm{funCongrLeft}\; R\; M\; e).\mathrm{symm} = \mathrm{funCongrLeft}\; R\; M\; e.symm $$$

Lean4

@[simp]
theorem funCongrLeft_symm (e : m ≃ n) : (funCongrLeft R M e).symm = funCongrLeft R M e.symm :=
  rfl

Похожие утверждения