Theorems · Definition · logic and foundations
FirstOrder.Language.Sentence.cardGe
(L : FirstOrder.Language) → ℕ → L.Sentence
A sentence indicating that a structure has n distinct elements.
- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- SProd.sprodproof · cited by 1,750
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.BoundedFormulaproof · cited by 207
- FirstOrder.Language.Sentencestatement · cited by 127
- FirstOrder.Language.BoundedFormula.notproof · cited by 27
- FirstOrder.Language.Term.bdEqualproof · cited by 10
- FirstOrder.Language.BoundedFormula.exsproof · cited by 4
Cited by5
Results whose statement or proof uses this declaration.
- FirstOrder.Language.infiniteTheoryproof · cited by 2
- FirstOrder.Language.model_infiniteTheory_iffproof · cited by 2
- FirstOrder.Language.nonemptyTheoryproof · cited by 1
- FirstOrder.Language.model_nonemptyTheory_iffproof · cited by 1
- FirstOrder.Language.Sentence.realize_cardGestatement and proof · cited by 0