Theorems · Theorem · logic and foundations
FirstOrder.Language.Substructure.range_subtype
∀ {L : FirstOrder.Language} {M : Type w} [inst : L.Structure M] (S : L.Substructure M), S.subtype.toHom.range = S- Defined in
- Mathlib.ModelTheory.Substructures
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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 and proof · cited by 242
- FirstOrder.Language.Embedding.toHomstatement · cited by 40
- FirstOrder.Language.Substructure.subtypestatement · cited by 40
- FirstOrder.Language.Hom.rangestatement · cited by 30
- FirstOrder.Language.Substructure.extproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Substructure.fg_iff_structure_fgproof · cited by 12
- FirstOrder.Language.DirectLimit.rangeLiftInclusionproof · cited by 0
- FirstOrder.Language.Substructure.cg_iff_structure_cgproof · cited by 0