Theorems · Theorem

Function.Surjective.forall

∀ {α : Sort u_1} {β : Sort u_2} {f : α → β},
  Function.Surjective f → ∀ {p : β → Prop}, (∀ (y : β), p y) ↔ ∀ (x : α), p (f x)

Defined in: Mathlib.Logic.Function.Basic
Cited by: 214 results in Mathlib
Foundations: Depth 5 from the axioms, rests on 6 definitions · uses no axioms

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