IsInvertible — Mathlib

English

A variant of the previous symmetry result for the right inverse equivalence.

Русский

Вариант симметричного результата для эквивалентности справа.

LaTeX

$$$ (equivOfRightInverse f_1 f_2 h)^{-1} y = f_2(y.1) + y.2 $$$

Lean4

/-- A continuous linear map is invertible if it is the forward direction of a continuous linear
equivalence. -/
def IsInvertible (f : M →L[R] M₂) : Prop :=
  ∃ (A : M ≃L[R] M₂), A = f

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