Theorems · Theorem · logic and foundations
FirstOrder.Language.Theory.imp_antisymm
∀ {L : FirstOrder.Language} {T : L.Theory} {α : Type w} {n : ℕ} {φ ψ : L.BoundedFormula α n},
T.Imp φ ψ → T.Imp ψ φ → T.Iff φ ψ- Defined in
- Mathlib.ModelTheory.Equivalence
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- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
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- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.BoundedFormulastatement and proof · cited by 207
- FirstOrder.Language.Theorystatement and proof · cited by 154
- FirstOrder.Language.Theory.Iffstatement · cited by 32
- FirstOrder.Language.Theory.Impstatement and proof · cited by 16
- FirstOrder.Language.Theory.iff_iff_imp_and_impproof · cited by 3
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