Theorems · Theorem · logic and foundations
FirstOrder.Language.card_constantsOn
∀ {α : Type u'}, (FirstOrder.Language.constantsOn α).card = Cardinal.mk α- Defined in
- Mathlib.ModelTheory.LanguageMap
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- add_zeroproof · cited by 2,707
- Cardinalstatement · cited by 2,598
- MulZeroClass.mul_zeroproof · cited by 2,091
- Cardinal.mkstatement and proof · cited by 942
- Cardinal.liftproof · cited by 583
- Cardinal.aleph0proof · cited by 521
- Cardinal.sumproof · cited by 58
- Cardinal.lift_aleph0proof · cited by 41
- Cardinal.lift_uzeroproof · cited by 31
- Cardinal.mk_eq_zeroproof · cited by 27
- FirstOrder.Language.constantsOnstatement · cited by 22
- Cardinal.mk_eq_aleph0proof · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- FirstOrder.Language.card_withConstantsproof · cited by 1