Theorems · Theorem · logic and foundations
FirstOrder.Language.Theory.Iff.models_sentence_iff
∀ {L : FirstOrder.Language} {T : L.Theory} {φ ψ : L.Sentence} {M : Type u_2} [Nonempty M] [inst : L.Structure M]
[M ⊨ T], T.Iff φ ψ → (M ⊨ φ ↔ M ⊨ ψ)- Defined in
- Mathlib.ModelTheory.Equivalence
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
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- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Theorystatement and proof · cited by 154
- FirstOrder.Language.Sentencestatement and proof · cited by 127
- FirstOrder.Language.Theory.Modelstatement and proof · cited by 67
- FirstOrder.Language.Sentence.Realizestatement · cited by 62
- FirstOrder.Language.Theory.Iffstatement and proof · cited by 32
- FirstOrder.Language.Theory.Iff.realize_iffproof · cited by 1
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