Theorems · Definition · logic and foundations
FirstOrder.Language.Term.restrictVar
{L : FirstOrder.Language} →
{α : Type u'} → {β : Type v'} → [inst : DecidableEq α] → (t : L.Term α) → (↥t.varFinset → β) → L.Term βRestricts a term to use only a set of the given variables.
- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 3 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.varFinsetstatement and proof · cited by 4
- FirstOrder.Language.Term.brecOnproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Term.realize_restrictVarstatement and proof · cited by 1
- FirstOrder.Language.Term.realize_restrictVar'statement · cited by 0
- FirstOrder.Language.Term.restrictVar.eq_defstatement and proof · cited by 0