Theorems · Theorem · logic and foundations
FirstOrder.Language.realize_noBotOrder
∀ (L : FirstOrder.Language) (M : Type w') [inst : L.IsOrdered] [inst_1 : L.Structure M] [inst_2 : LE M] [L.OrderedStructure M] [h : NoBotOrder M], M ⊨ L.noBotOrderSentence
- Defined in
- Mathlib.ModelTheory.Order
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Sentence.Realizestatement · cited by 62
- NoBotOrderstatement and proof · cited by 43
- FirstOrder.Language.IsOrderedstatement and proof · cited by 19
- FirstOrder.Language.OrderedStructurestatement and proof · cited by 16
- FirstOrder.Language.noBotOrderSentencestatement · cited by 5
- FirstOrder.Language.realize_noBotOrder_iffproof · cited by 2
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