Theorems · Theorem · order theory
Set.InjOn.leftInvOn_invFunOn
∀ {α : Type u_1} {β : Type u_2} {s : Set α} {f : α → β} [inst : Nonempty α],
Set.InjOn f s → Set.LeftInvOn (Function.invFunOn f s) f s- Defined in
- Mathlib.Data.Set.Function
- Cited by
- 4 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.
Cites6
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.InjOnstatement and proof · cited by 543
- Set.LeftInvOnstatement · cited by 42
- Function.invFunOnstatement and proof · cited by 35
- Function.invFunOn_apply_eqproof · cited by 3
- Function.invFunOn_apply_memproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- Set.BijOn.invOn_invFunOnproof · cited by 5
- countable_image_lt_image_Ioi_withinproof · cited by 3
- countable_image_lt_image_Iio_withinproof · cited by 2
- Set.InjOn.invFunOn_imageproof · cited by 1