Theorems · Theorem · logic and foundations
FirstOrder.Language.funMap_eq_coe_constants
∀ {L : FirstOrder.Language} {M : Type w} [inst : L.Structure M] {c : L.Constants} {x : Fin 0 → M},
FirstOrder.Language.Structure.funMap c x = ↑c- Defined in
- Mathlib.ModelTheory.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses 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.
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Structure.funMapstatement · cited by 69
- finZeroElimproof · cited by 29
- FirstOrder.Language.constantMapstatement · cited by 28
- FirstOrder.Language.Constantsstatement and proof · cited by 14
Cited by2
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Term.realize_constantsproof · cited by 6
- FirstOrder.Language.Term.realize_constantsToVarsproof · cited by 1