Mathlib Map

Theorems · Definition · logic and foundations

FirstOrder.Language.PartialEquiv.cod

{L : FirstOrder.Language} →
  {M : Type w} →
    {N : Type w'} → [inst : L.Structure M] → [inst_1 : L.Structure N] → L.PartialEquiv M N → L.Substructure N

The substructure which is the codomain of the equivalence.

Defined in
Mathlib.ModelTheory.PartialEquiv
Cited by
32 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
FirstOrder.Language.StructureFirstOrder.Language.Structure
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

FirstOrder.Language.PartialEquiv.toEquiv · cited by 24PartialEquiv.toEquivFirstOrder.Language.PartialEquiv.symm · cited by 9PartialEquiv.symmFirstOrder.Language.PartialEquiv.dom_le_dom · cited by 8PartialEquiv.dom_le_domFirstOrder.Language.DirectLimit.partialEquivLimit · cited by 6DirectLimit.partialEquivL…FirstOrder.Language.PartialEquiv.cod_le_cod · cited by 6PartialEquiv.cod_le_codFirstOrder.Language.PartialEquiv.ext · cited by 3PartialEquiv.extFirstOrder.Language.PartialEquiv.subtype_toEquiv_inclusion · cited by 3PartialEquiv.subtype_toEq…FirstOrder.Language.PartialEquiv.le_def · cited by 2PartialEquiv.le_defFirstOrder.Language.Embedding.toPartialEquiv_toEmbedding · cited by 2Embedding.toPartialEquiv_…FirstOrder.Language.PartialEquiv.toEquivOfEqTop · cited by 2PartialEquiv.toEquivOfEqT…FirstOrder.Language.PartialEquiv.toEquiv_inclusion_apply · cited by 2PartialEquiv.toEquiv_incl…FirstOrder.Language.PartialEquiv.toEmbedding · cited by 2PartialEquiv.toEmbeddingFirstOrder.Language.equiv_between_cg · cited by 2Language.equiv_between_cgFirstOrder.Language.DirectLimit.le_partialEquivLimit · cited by 2DirectLimit.le_partialEqu…FirstOrder.Language.PartialEquiv.codRestrict · cited by 2PartialEquiv.codRestrictFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.Substructure · cited by 242Language.SubstructureFirstOrder.Language.PartialEquiv · cited by 44Language.PartialEquivPartialEquiv.codCITED BYCITES

Cites4

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

Cited by40

Results whose statement or proof uses this declaration.