Theorems · Theorem · logic and foundations
FirstOrder.Language.realize_denselyOrdered
∀ {L : FirstOrder.Language} {M : Type w'} [inst : L.IsOrdered] [inst_1 : L.Structure M] [inst_2 : Preorder M]
[L.OrderedStructure M] [h : DenselyOrdered M], M ⊨ L.denselyOrderedSentence- Defined in
- Mathlib.ModelTheory.Order
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
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- Preorderstatement and proof · cited by 7,952
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- DenselyOrderedstatement and proof · cited by 471
- FirstOrder.Language.Sentence.Realizestatement · cited by 62
- FirstOrder.Language.IsOrderedstatement and proof · cited by 19
- FirstOrder.Language.OrderedStructurestatement and proof · cited by 16
- FirstOrder.Language.denselyOrderedSentencestatement · cited by 5
- FirstOrder.Language.realize_denselyOrdered_iffproof · cited by 2
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