Theorems · Theorem · logic and foundations
Cardinal.mk_freeGroup
∀ (α : Type u) [Nonempty α], Cardinal.mk (FreeGroup α) = max (Cardinal.mk α) Cardinal.aleph0
- Defined in
- Mathlib.SetTheory.Cardinal.Free
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Nonempty
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LE.le.transproof · cited by 3,151
- Cardinalstatement and proof · cited by 2,598
- LT.lt.leproof · cited by 2,189
- le_antisymmproof · cited by 2,068
- Cardinal.mkstatement and proof · cited by 942
- Cardinal.liftproof · cited by 583
- Cardinal.aleph0statement and proof · cited by 521
- LE.le.trans_eqproof · cited by 328
- two_ne_zeroproof · cited by 251
- lt_or_geproof · cited by 182
- FreeGroupstatement and proof · cited by 132
- max_eq_leftproof · cited by 96
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.