Theorems · Theorem · logic and foundations
FirstOrder.Language.age.fg_substructure
∀ {L : FirstOrder.Language} {M : Type w} [inst : L.Structure M] {S : L.Substructure M},
S.FG → { α := ↥S, str := inferInstance } ∈ L.age M- Defined in
- Mathlib.ModelTheory.Fraisse
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Substructurestatement and proof · cited by 242
- CategoryTheory.Bundledstatement · cited by 42
- FirstOrder.Language.Substructure.subtypeproof · cited by 40
- FirstOrder.Language.Substructure.FGstatement and proof · cited by 34
- FirstOrder.Language.agestatement · cited by 18
- FirstOrder.Language.Substructure.fg_iff_structure_fgproof · cited by 12
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.