Theorems · Theorem · logic and foundations
FirstOrder.Language.Relations.isUniversal_irreflexive
∀ {L : FirstOrder.Language} (r : L.Relations 2), FirstOrder.Language.BoundedFormula.IsUniversal r.irreflexive- Defined in
- Mathlib.ModelTheory.Complexity
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- 0 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext
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Cites10
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
- Matrix.vecConsproof · cited by 852
- Matrix.vecEmptyproof · cited by 832
- FirstOrder.Language.Relationsstatement and proof · cited by 147
- FirstOrder.Language.BoundedFormula.IsUniversalstatement · cited by 12
- FirstOrder.Language.BoundedFormula.IsAtomic.isQFproof · cited by 9
- FirstOrder.Language.BoundedFormula.IsQF.isUniversalproof · cited by 7
- FirstOrder.Language.BoundedFormula.IsQF.notproof · cited by 4
- FirstOrder.Language.Relations.irreflexivestatement · cited by 3
- FirstOrder.Language.Relations.isAtomicproof · cited by 2
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