Theorems · Theorem · logic and foundations
FirstOrder.Language.Sentence.realize_cardGe
∀ (L : FirstOrder.Language) {M : Type w} [inst : L.Structure M] (n : ℕ),
M ⊨ FirstOrder.Language.Sentence.cardGe L n ↔ ↑n ≤ Cardinal.mk M- Defined in
- Mathlib.ModelTheory.Semantics
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
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- DFunLike.coeproof · cited by 62,936
- Top.topproof · cited by 9,680
- Cardinalstatement and proof · cited by 2,598
- SProd.sprodproof · cited by 1,750
- FirstOrder.Languagestatement and proof · cited by 1,084
- Function.Embeddingproof · cited by 988
- Cardinal.mkstatement and proof · cited by 942
- FirstOrder.Language.Structurestatement and proof · cited by 775
- Cardinal.liftproof · cited by 583
- Nonempty.someproof · cited by 340
- FirstOrder.Language.BoundedFormulaproof · cited by 207
- FirstOrder.Language.Sentenceproof · cited by 127
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