Theorems · Definition · logic and foundations
FirstOrder.Language.Functions
FirstOrder.Language → ℕ → Type u
For every arity, a Type u of functions of that arity
- Defined in
- Mathlib.ModelTheory.Basic
- Cited by
- 153 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 3 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
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
Cited by260
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Structure.funMapstatement · cited by 69
- FirstOrder.Language.Equiv.symmproof · cited by 32
- FirstOrder.Language.Substructure.comapproof · cited by 31
- FirstOrder.Language.sumproof · cited by 31
- FirstOrder.Language.LHom.onFunctionstatement · cited by 27
- FirstOrder.Language.Hom.compproof · cited by 20
- FirstOrder.Language.LHom.compproof · cited by 20
- FirstOrder.Language.DirectLimit.ofproof · cited by 17
- FirstOrder.Language.Term.realize_relabelproof · cited by 15
- FirstOrder.Language.Embedding.equivRangeproof · cited by 14
- FirstOrder.Language.Constantsproof · cited by 14
- FirstOrder.Language.Term.belowproof · cited by 13
Showing the 200 most cited of 260.