The cardinality of the complex numbers

This file shows that the complex numbers have cardinality continuum, i.e. #ℂ = 𝔠.

@[simp]

theorem Cardinal.mk_complex : mk ℂ = continuum

The cardinality of the complex numbers, as a type.

theorem Cardinal.mk_univ_complex : mk ↑Set.univ = continuum

The cardinality of the complex numbers, as a set.

theorem not_countable_complex : ¬Set.univ.Countable

The complex numbers are not countable.