Theorems · Definition · logic and foundations
FirstOrder.Language.Term.constantsVarsEquiv
{L : FirstOrder.Language} → {α : Type u'} → {γ : Type u_1} → (L.withConstants γ).Term α ≃ L.Term (γ ⊕ α)A bijection between terms with constants and terms with extra variables.
- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, 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.
- Equivstatement · cited by 8,337
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Termstatement · cited by 166
- FirstOrder.Language.withConstantsstatement · cited by 108
- FirstOrder.Language.Term.varsToConstantsproof · cited by 6
- FirstOrder.Language.Term.constantsToVarsproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Term.constantsVarsEquivLeftproof · cited by 3
- FirstOrder.Language.Term.constantsVarsEquiv_applystatement and proof · cited by 1
- FirstOrder.Language.Term.constantsVarsEquiv_symm_applystatement and proof · cited by 0