Theorems · Theorem · logic and foundations
Cardinal.mk_real
Cardinal.mk ℝ = Cardinal.continuum
The cardinality of the reals, as a type.
- Defined in
- Mathlib.Analysis.Real.Cardinality
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- LE.le.transproof · cited by 3,151
- Cardinalstatement and proof · cited by 2,598
- Nat.cast_oneproof · cited by 2,501
- le_antisymmproof · cited by 2,068
- absproof · cited by 1,814
- Cardinal.mkstatement and proof · cited by 942
- one_divproof · cited by 624
- Cardinal.aleph0proof · cited by 521
- LE.le.trans_eqproof · cited by 328
- IsCauSeqproof · cited by 91
- Cardinal.continuumstatement and proof · cited by 60
Cited by11
Results whose statement or proof uses this declaration.
- Cardinal.mk_Ioo_realproof · cited by 5
- Cardinal.mk_Ioi_realproof · cited by 3
- Cardinal.mk_complexproof · cited by 2
- Cardinal.mk_Icc_realproof · cited by 2
- Cardinal.mk_Iio_realproof · cited by 1
- Cardinal.mk_Ioc_realproof · cited by 1
- Cardinal.mk_univ_realproof · cited by 1
- Real.rank_rat_realproof · cited by 1
- Cardinal.mk_Ico_realproof · cited by 1
- Cardinal.mk_Ici_realproof · cited by 0
- Cardinal.mk_Iic_realproof · cited by 0