toContinuousAddMonoidHom_id — Mathlib

English

Alternative formulation: the equality of toLinearMap equals LinearMap.id is equivalent to equality of f with id.

Русский

Альтернативная формулировка: равенство toLinearMap равному LinearMap.id эквивалентно равенству f и id.

LaTeX

$$$ (f.toLinearMap = \mathrm{LinearMap.id}) \;\iff\; f = \mathrm{id} _ _ . $$$

Lean4

@[simp, norm_cast]
theorem toContinuousAddMonoidHom_id : (ContinuousLinearMap.id R₁ M₁ : ContinuousAddMonoidHom M₁ M₁) = .id _ :=
  rfl

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