Theorems · Theorem · logic and foundations
FirstOrder.Language.Theory.exists_modelType_is_realized_in
∀ {L : FirstOrder.Language} (T : L.Theory) {α : Type w} (p : T.CompleteType α), ∃ M, p ∈ T.realizedTypes (↑M) α- Defined in
- Mathlib.ModelTheory.Types
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites23
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- Setstatement · cited by 53,352
- SetLike.coeproof · cited by 8,199
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Theorystatement and proof · cited by 154
- FirstOrder.Language.Sentenceproof · cited by 127
- transproof · cited by 111
- FirstOrder.Language.withConstantsproof · cited by 108
- SetLike.extproof · cited by 92
- FirstOrder.Language.Theory.ModelTypestatement and proof · cited by 62
- FirstOrder.Language.Theory.ModelType.Carrierstatement and proof · cited by 59
- FirstOrder.Language.lhomWithConstantsproof · cited by 39
- FirstOrder.Language.Theory.CompleteTypestatement and proof · cited by 35
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