Theorems · Theorem · logic and foundations
FirstOrder.Language.BoundedFormula.IsAtomic.isPrenex
∀ {L : FirstOrder.Language} {α : Type u'} {n : ℕ} {φ : L.BoundedFormula α n}, φ.IsAtomic → φ.IsPrenex- Defined in
- Mathlib.ModelTheory.Complexity
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.BoundedFormulastatement and proof · cited by 207
- FirstOrder.Language.BoundedFormula.IsAtomicstatement and proof · cited by 22
- FirstOrder.Language.BoundedFormula.IsPrenexstatement · cited by 13
- FirstOrder.Language.BoundedFormula.IsAtomic.isQFproof · cited by 9
- FirstOrder.Language.BoundedFormula.IsQF.isPrenexproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- FirstOrder.Language.BoundedFormula.toPrenex_isPrenexproof · cited by 2