Theorems · Definition · logic and foundations
FirstOrder.Language.Term.restrictVarLeft
{L : FirstOrder.Language} →
{α : Type u'} →
{β : Type v'} →
[inst : DecidableEq α] → {γ : Type u_2} → (t : L.Term (α ⊕ γ)) → (↥t.varFinsetLeft → β) → L.Term (β ⊕ γ)Restricts a term to use only a set of the given variables on the left side of a sum.
- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Termstatement and proof · cited by 166
- FirstOrder.Language.Term.varFinsetLeftstatement and proof · cited by 7
- FirstOrder.Language.Term.brecOnproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- FirstOrder.Language.BoundedFormula.realize_restrictFreeVarproof · cited by 4
- FirstOrder.Language.Term.realize_restrictVarLeftstatement and proof · cited by 2
- FirstOrder.Language.BoundedFormula.restrictFreeVar.eq_defstatement and proof · cited by 0
- FirstOrder.Language.Term.restrictVarLeft.eq_defstatement and proof · cited by 0
- FirstOrder.Language.Term.realize_restrictVarLeft'statement · cited by 0