Theorems · Theorem · logic and foundations
FirstOrder.Language.Formula.equivSentence_inf
∀ {L : FirstOrder.Language} {α : Type u'} (φ ψ : L.Formula α),
FirstOrder.Language.Formula.equivSentence (φ ⊓ ψ) =
FirstOrder.Language.Formula.equivSentence φ ⊓ FirstOrder.Language.Formula.equivSentence ψ- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Equivstatement · cited by 8,337
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Sentencestatement · cited by 127
- FirstOrder.Language.withConstantsstatement · cited by 108
- FirstOrder.Language.Formulastatement and proof · cited by 93
- FirstOrder.Language.Formula.equivSentencestatement · cited by 11
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