Infinite.of_injective_to_set

∀ {α : Type u_1} {s : Set α}, s ≠ Set.univ → ∀ {f : α → ↑s}, Function.Injective f → Infinite α

If s : Set α is a proper subset of α and f : α → s is injective, then α is infinite.

Defined in: Mathlib.Data.Fintype.EquivFin
Cited by: 1 results in Mathlib
Foundations: Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

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