Theorems · Theorem · logic and foundations
Cardinal.mk_complex
Cardinal.mk ℂ = Cardinal.continuum
The cardinality of the complex numbers, as a type.
- Defined in
- Mathlib.Analysis.Complex.Cardinality
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- Complexstatement · cited by 5,565
- Cardinalstatement and proof · cited by 2,598
- Cardinal.mkstatement and proof · cited by 942
- Cardinal.lift_idproof · cited by 163
- Cardinal.continuumstatement and proof · cited by 60
- Cardinal.mk_congrproof · cited by 55
- Cardinal.mk_prodproof · cited by 19
- Complex.equivRealProdproof · cited by 15
- Cardinal.mk_realproof · cited by 11
- Cardinal.continuum_mul_selfproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Complex.rank_rat_complexproof · cited by 1
- Cardinal.mk_univ_complexproof · cited by 1