Theorems · Theorem · order theory
Function.invFunOn_image_image_subset
∀ {α : Type u_1} {β : Type u_2} [inst : Nonempty α] (f : α → β) (s : Set α), Function.invFunOn f s '' f '' s ⊆ s- Defined in
- Mathlib.Data.Set.Function
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Nonempty
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.imagestatement and proof · cited by 5,609
- Function.invFunOnstatement and proof · cited by 35
- Function.invFunOn_apply_memproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Set.encard_image_leproof · cited by 2
- Set.Finite.injOn_of_encard_image_eqproof · cited by 1