coeFn_injective — Mathlib

English

The coercion map e ↦ e.toFun is injective: if e1.toFun = e2.toFun then e1 = e2.

Русский

Коэрсия e ↦ e.toFun инъективна: если e1.toFun = e2.toFun, то e1 = e2.

LaTeX

$$e1.toFun = e2.toFun ⇒ e1 = e2$$

Lean4

@[deprecated "Use ENormedAddCommMonoid or talk to the Carleson project" (since := "2025-05-07")]
theorem coeFn_injective : Function.Injective ((↑) : ENormedSpace 𝕜 V → V → ℝ≥0∞) :=
  by
  intro e₁ e₂ h
  cases e₁
  cases e₂
  congr

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