Theorems · Theorem · logic and foundations
FirstOrder.Language.PartialEquiv.cod_le_cod
∀ {L : FirstOrder.Language} {M : Type w} {N : Type w'} [inst : L.Structure M] [inst_1 : L.Structure N]
{f g : L.PartialEquiv M N}, f ≤ g → f.cod ≤ g.cod- Defined in
- Mathlib.ModelTheory.PartialEquiv
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Substructurestatement · cited by 242
- Set.inclusionproof · cited by 145
- FirstOrder.Language.Embeddingproof · cited by 128
- FirstOrder.Language.PartialEquivstatement and proof · cited by 44
- FirstOrder.Language.Substructure.subtypeproof · cited by 40
- FirstOrder.Language.Embedding.compproof · cited by 38
- FirstOrder.Language.PartialEquiv.domproof · cited by 35
- FirstOrder.Language.Equiv.toEmbeddingproof · cited by 34
- FirstOrder.Language.Equiv.symmproof · cited by 32
Cited by6
Results whose statement or proof uses this declaration.
- FirstOrder.Language.PartialEquiv.toEquiv_inclusion_applystatement and proof · cited by 2
- FirstOrder.Language.equiv_between_cgproof · cited by 2
- FirstOrder.Language.PartialEquiv.le_iffproof · cited by 1
- FirstOrder.Language.PartialEquiv.symm_le_symmproof · cited by 1
- FirstOrder.Language.PartialEquiv.toEquiv_inclusionstatement and proof · cited by 0
- FirstOrder.Language.PartialEquiv.monotone_codproof · cited by 0