Theorems · Theorem · logic and foundations
FirstOrder.Language.Embedding.equivRange_toEquiv_apply
∀ {L : FirstOrder.Language} {M : Type w} {N : Type u_1} [inst : L.Structure M] [inst_1 : L.Structure N]
(f : L.Embedding M N) (a : M),
f.equivRange.toEquiv a = (FirstOrder.Language.Embedding.codRestrict f.toHom.range f ⋯) a- Defined in
- Mathlib.ModelTheory.Substructures
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, 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.
- DFunLike.coestatement and proof · cited by 62,936
- Equivstatement · cited by 8,337
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Substructurestatement · cited by 242
- FirstOrder.Language.Embeddingstatement and proof · cited by 128
- FirstOrder.Language.Embedding.toHomstatement · cited by 40
- FirstOrder.Language.Hom.rangestatement · cited by 30
- FirstOrder.Language.Embedding.equivRangestatement and proof · cited by 14
- FirstOrder.Language.Equiv.toEquivstatement and proof · cited by 12
- FirstOrder.Language.Embedding.codRestrictstatement · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- FirstOrder.Language.empty.isFraisseLimit_of_countable_infiniteproof · cited by 1