Theorems · Definition · logic and foundations
FirstOrder.Language.Relations
FirstOrder.Language → ℕ → Type v
For every arity, a Type v of relations of that arity
- Defined in
- Mathlib.ModelTheory.Basic
- Cited by
- 147 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 by254
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Structure.RelMapstatement · cited by 68
- FirstOrder.Language.Equiv.symmproof · cited by 32
- FirstOrder.Language.sumproof · cited by 31
- FirstOrder.Language.LHom.onRelationstatement · cited by 27
- FirstOrder.Language.LHom.compproof · cited by 20
- FirstOrder.Language.Embedding.equivRangeproof · cited by 14
- FirstOrder.Language.BoundedFormula.belowproof · cited by 12
- FirstOrder.Language.BoundedFormula.brecOn.goproof · cited by 12
- FirstOrder.Language.BoundedFormula.brecOn.eqproof · cited by 11
- FirstOrder.Language.BoundedFormula.mapTermRelstatement and proof · cited by 10
- FirstOrder.Language.LHom.funextstatement and proof · cited by 9
- FirstOrder.Language.LHom.sumElimproof · cited by 9
Showing the 200 most cited of 254.