Theorems · Theorem · logic and foundations
FirstOrder.Language.LHom.realize_onSentence
∀ {L : FirstOrder.Language} {L' : FirstOrder.Language} (M : Type w) [inst : L.Structure M] [inst_1 : L'.Structure M]
(φ : L →ᴸ L') [φ.IsExpansionOn M] (ψ : L.Sentence), M ⊨ φ.onSentence ψ ↔ M ⊨ ψ- Defined in
- Mathlib.ModelTheory.Semantics
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- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
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- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Sentencestatement and proof · cited by 127
- FirstOrder.Language.LHomstatement and proof · cited by 66
- FirstOrder.Language.Sentence.Realizestatement · cited by 62
- FirstOrder.Language.LHom.IsExpansionOnstatement and proof · cited by 31
- FirstOrder.Language.LHom.onSentencestatement · cited by 3
- FirstOrder.Language.LHom.realize_onFormulaproof · cited by 1
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