Theorems · Theorem · logic and foundations
Cardinal.isUnit_iff
∀ {a : Cardinal.{u}}, IsUnit a ↔ a = 1Alias of isUnit_iff_eq_one for discoverability.
- Defined in
- Mathlib.SetTheory.Cardinal.Divisibility
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement and proof · cited by 2,598
- MulZeroClass.mul_zeroproof · cited by 2,091
- IsUnitstatement and proof · cited by 1,602
- eq_or_neproof · cited by 1,117
- zero_ne_oneproof · cited by 90
- isUnit_oneproof · cited by 48
- not_isUnit_zeroproof · cited by 20
- Cardinal.one_le_iff_ne_zeroproof · cited by 14
- mul_eq_one_iff_of_one_leproof · cited by 2
- isUnit_iff_forall_dvdproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Cardinal.prime_of_aleph0_leproof · cited by 1