Theorems · Definition · logic and foundations
FirstOrder.Language.Structure.funMap
{L : FirstOrder.Language} → {M : Type w} → [self : L.Structure M] → {n : ℕ} → L.Functions n → (Fin n → M) → MInterpretation of the function symbols
- Defined in
- Mathlib.ModelTheory.Basic
- Cited by
- 69 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.Functionsstatement · cited by 153
Cited by111
Results whose statement or proof uses this declaration.
- FirstOrder.Language.constantMapproof · cited by 28
- FirstOrder.Language.Term.realize_relabelproof · cited by 15
- FirstOrder.Language.ClosedUnderproof · cited by 13
- Equiv.inducedStructureproof · cited by 6
- FirstOrder.Language.HomClass.map_funstatement · cited by 6
- FirstOrder.Language.HomClass.realize_termproof · cited by 5
- FirstOrder.Ring.realize_termOfFreeCommRingproof · cited by 5
- FirstOrder.Language.LHom.map_onFunctionstatement · cited by 5
- FirstOrder.Language.Substructure.coe_closure_eq_range_term_realizeproof · cited by 3
- FirstOrder.Language.funMap_quotient_mk'statement and proof · cited by 3
- FirstOrder.Language.Term.realize_substproof · cited by 3
- FirstOrder.Language.Term.realize_varsToConstantsproof · cited by 3