Theorems · Definition · logic and foundations
FirstOrder.Language.Term.varFinsetLeft
{L : FirstOrder.Language} → {α : Type u'} → {β : Type v'} → [DecidableEq α] → L.Term (α ⊕ β) → Finset αThe Finset of variables from the left side of a sum used in a given term.
- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 75 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.
Cites4
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.brecOnproof · cited by 1
Cited by8
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Term.restrictVarLeftstatement and proof · cited by 5
- 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.varFinsetLeft.eq_defstatement and proof · cited by 0
- FirstOrder.Language.Term.realize_restrictVarLeft'statement and proof · cited by 0
- FirstOrder.Language.BoundedFormula.freeVarFinset.eq_defstatement and proof · cited by 0