Theorems · Definition · logic and foundations
FirstOrder.Language.Term.varsToConstants
{L : FirstOrder.Language} → {α : Type u'} → {γ : Type u_1} → L.Term (γ ⊕ α) → (L.withConstants γ).Term αSends a term with extra variables to a term with constants.
- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.Termstatement and proof · cited by 166
- FirstOrder.Language.withConstantsstatement · cited by 108
- FirstOrder.Language.Term.brecOnproof · cited by 1
Cited by7
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Term.realize_varsToConstantsstatement and proof · cited by 3
- FirstOrder.Language.Term.constantsVarsEquivproof · cited by 2
- IsLinearSet.definableproof · cited by 1
- FirstOrder.Language.MeetsDefinable.closure_eq_selfproof · cited by 1
- FirstOrder.Language.Term.constantsVarsEquivLeft_symm_applystatement · cited by 0
- FirstOrder.Language.Term.constantsVarsEquiv_symm_applystatement · cited by 0
- FirstOrder.Language.Term.varsToConstants.eq_defstatement and proof · cited by 0