Theorems · Theorem · logic and foundations
FirstOrder.Language.Formula.iExs.congr_simp
∀ {L : FirstOrder.Language} {α : Type u'} (β : Type v') [inst : Finite β] (φ φ_1 : L.Formula (α ⊕ β)),
φ = φ_1 → FirstOrder.Language.Formula.iExs β φ = FirstOrder.Language.Formula.iExs β φ_1- Defined in
- Mathlib.ModelTheory.Semantics
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- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Finite
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- Finitestatement and proof · cited by 3,029
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Formulastatement and proof · cited by 93
- FirstOrder.Language.Formula.iExsstatement and proof · cited by 8
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