Theorems · Theorem · general topology
Set.InjOn.toPartialEquiv.congr_simp
∀ {α : Type u_1} {β : Type u_2} [inst : Nonempty α] (f f_1 : α → β) (e_f : f = f_1) (s s_1 : Set α) (e_s : s = s_1)
(hf : Set.InjOn f s), Set.InjOn.toPartialEquiv f s hf = Set.InjOn.toPartialEquiv f_1 s_1 ⋯- Defined in
- Mathlib.Topology.PartialHomeomorph.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Nonempty
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- Setstatement and proof · cited by 53,352
- Set.InjOnstatement and proof · cited by 543
- PartialEquivstatement · cited by 335
- Set.InjOn.toPartialEquivstatement and proof · cited by 2
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