Theorems · Definition · logic and foundations
FirstOrder.Language.Term.constantsVarsEquivLeft
{L : FirstOrder.Language} →
{α : Type u'} → {β : Type v'} → {γ : Type u_1} → (L.withConstants γ).Term (α ⊕ β) ≃ L.Term ((γ ⊕ α) ⊕ β)A bijection between terms with constants and terms with extra variables.
- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement · cited by 8,337
- Equiv.symmproof · cited by 3,681
- FirstOrder.Languagestatement and proof · cited by 1,084
- Equiv.transproof · cited by 337
- FirstOrder.Language.Termstatement · cited by 166
- FirstOrder.Language.withConstantsstatement · cited by 108
- Equiv.sumAssocproof · cited by 17
- FirstOrder.Language.Term.relabelEquivproof · cited by 4
- FirstOrder.Language.Term.constantsVarsEquivproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- FirstOrder.Language.BoundedFormula.constantsVarsEquivproof · cited by 4
- FirstOrder.Language.Term.realize_constantsVarsEquivLeftstatement · cited by 1
- FirstOrder.Language.Term.constantsVarsEquivLeft_symm_applystatement · cited by 0
- FirstOrder.Language.Term.constantsVarsEquivLeft_applystatement · cited by 0