Theorems · Definition · logic and foundations
FirstOrder.Language.Structure.CG.casesOn
{L : FirstOrder.Language} →
{M : Type u_1} →
[inst : L.Structure M] →
{motive : FirstOrder.Language.Structure.CG L M → Sort u} →
(t : FirstOrder.Language.Structure.CG L M) → ((out : ⊤.CG) → motive ⋯) → motive t- Defined in
- Mathlib.ModelTheory.FinitelyGenerated
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Substructurestatement · cited by 242
- FirstOrder.Language.Substructure.CGstatement and proof · cited by 18
- FirstOrder.Language.Structure.CGstatement and proof · cited by 16
Cited by2
Results whose statement or proof uses this declaration.
- FirstOrder.Language.equiv_between_cgproof · cited by 2
- FirstOrder.Language.embedding_from_cgproof · cited by 0