Theorems · Theorem · logic and foundations
Function.Embedding.ext
∀ {α : Sort u_1} {β : Sort u_2} {f g : α ↪ β}, (∀ (x : α), f x = g x) → f = g- Defined in
- Mathlib.Logic.Embedding.Basic
- Cited by
- 27 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Function.Embeddingstatement and proof · cited by 988
- DFunLike.extproof · cited by 240
Cited by27
Results whose statement or proof uses this declaration.
- SubMulAction.ofStabilizer.isMultiplyPretransitiveproof · cited by 5
- Fin.Embedding.restrictSurjective_of_add_le_ENatCardproof · cited by 4
- alternatingGroup.isMultiplyPretransitiveproof · cited by 4
- SubMulAction.ofFixingSubgroup.isMultiplyPretransitiveproof · cited by 4
- SubAddAction.ofFixingAddSubgroup.isMultiplyPretransitiveproof · cited by 3
- RootPairing.extproof · cited by 2
- MulAction.is_two_pretransitive_iffproof · cited by 2
- SubAddAction.ofStabilizer.isMultiplyPretransitiveproof · cited by 2
- AddAction.is_two_pretransitive_iffproof · cited by 2
- addLeftEmbedding_eq_addRightEmbeddingproof · cited by 2
- SubMulAction.exists_smul_of_last_eqproof · cited by 1
- Function.Bijective.addActionHom_embedding_isBijectiveproof · cited by 1