Theorems · Theorem · logic and foundations
FirstOrder.Language.PartialEquiv.dom_le_dom
∀ {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.dom ≤ g.dom- Defined in
- Mathlib.ModelTheory.PartialEquiv
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Substructurestatement · cited by 242
- 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.domstatement and proof · cited by 35
- FirstOrder.Language.Equiv.toEmbeddingproof · cited by 34
- FirstOrder.Language.PartialEquiv.codproof · cited by 32
- FirstOrder.Language.Substructure.inclusionproof · cited by 26
- FirstOrder.Language.PartialEquiv.toEquivproof · cited by 24
Cited by8
Results whose statement or proof uses this declaration.
- FirstOrder.Language.PartialEquiv.subtype_toEquiv_inclusionstatement and proof · cited by 3
- 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_domproof · cited by 0
- FirstOrder.Language.embedding_from_cgproof · cited by 0