Theorems · Theorem · combinatorics
Function.Embedding.invFun_restrict
∀ {α : Type u_1} {β : Type u_2} [inst : Fintype α] [inst_1 : DecidableEq β] (f : α ↪ β) [inst_2 : Nonempty α],
(Set.range ⇑f).domRestrict (Function.invFun ⇑f) = f.invOfMemRange- Defined in
- Mathlib.Data.Fintype.Inv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeDecidableEqNonempty
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Fintypestatement and proof · cited by 7,736
- Set.Elemstatement and proof · cited by 7,166
- Set.rangestatement and proof · cited by 4,705
- Function.Embeddingstatement and proof · cited by 988
- Set.domRestrictstatement and proof · cited by 383
- Function.Embedding.injectiveproof · cited by 111
- Set.mem_rangeproof · cited by 102
- Function.invFunstatement and proof · cited by 60
- Function.invFun_eqproof · cited by 10
- Function.Embedding.invOfMemRangestatement and proof · cited by 6
- Function.Embedding.left_inv_of_invOfMemRangeproof · cited by 1
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