Mathlib Map

Theorems · Definition · logic and foundations

Function.Embedding.toFun

{α : Sort u_1} → {β : Sort u_2} → (α ↪ β) → α → β

An embedding as a function. Use coercion instead.

Defined in
Mathlib.Logic.Embedding.Basic
Cited by
25 results in Mathlib
Foundations
Depth 1 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Function.Embedding.inj' · cited by 29Embedding.inj'RelEmbedding.toRelHom · cited by 15RelEmbedding.toRelHomFunction.Injective.mulActionHom_embedding · cited by 4Injective.mulActionHom_em…Function.Injective.addActionHom_embedding · cited by 3Injective.addActionHom_em…Equiv.Perm.viaEmbedding · cited by 3Perm.viaEmbeddingEquiv.Perm.viaEmbeddingHom · cited by 2Perm.viaEmbeddingHomWellFoundedLT.finite_of_sSupIndep · cited by 2WellFoundedLT.finite_of_s…RelEmbedding.antisymm · cited by 2RelEmbedding.antisymmPolynomial.eq_zero_of_degree_lt_of_eval_finset_eq_zero · cited by 2Polynomial.eq_zero_of_deg…WType.cardinalMk_le_of_le' · cited by 2WType.cardinalMk_le_of_le'DedekindCut.principalIso · cited by 2DedekindCut.principalIsoEquiv.Perm.eq_top_of_isMultiplyPretransitive · cited by 1Perm.eq_top_of_isMultiply…FirstOrder.Language.PartialEquiv.le_iff · cited by 1PartialEquiv.le_iffUniqueFactorizationMonoid.primeFactors_eq_primeFactors_natAbs · cited by 1UniqueFactorizationMonoid…Equiv.Perm.viaEmbeddingHom_injective · cited by 1Perm.viaEmbeddingHom_inje…Function.Embedding · cited by 988Function.EmbeddingEmbedding.toFunCITED BYCITES

Cites1

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

Cited by38

Results whose statement or proof uses this declaration.