Mathlib Map

Theorems · Definition · logic and foundations

Function.Embedding.oneEmbeddingEquiv

{one : Type u_1} → {α : Type u_2} → [Unique one] → (one ↪ α) ≃ α

The equivalence one ↪ α with α, for Unique one.

Defined in
Mathlib.Logic.Embedding.Basic
Cited by
2 results in Mathlib
Foundations
Depth 10 from the axioms · uses propext, Quot.sound
Assumes
Unique
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MulActionHom.oneEmbeddingMap · cited by 1MulActionHom.oneEmbedding…AddActionHom.zeroEmbeddingMap · cited by 1AddActionHom.zeroEmbeddin…AddActionHom.zeroEmbeddingMap_bijective · cited by 1AddActionHom.zeroEmbeddin…MulActionHom.oneEmbeddingMap_bijective · cited by 1MulActionHom.oneEmbedding…DFunLike.coe · cited by 62936DFunLike.coeEquiv · cited by 8337EquivFunction.Embedding · cited by 988Function.EmbeddingUnique · cited by 400UniqueEmbedding.oneEmbeddingEquivCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.