Mathlib Map

Theorems · Definition · logic and foundations

Cardinal.continuum

Cardinal.{u}

Cardinality of the continuum.

Defined in
Mathlib.SetTheory.Cardinal.Continuum
Cited by
60 results in Mathlib
Foundations
Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cardinal.aleph0_lt_continuum · cited by 11Cardinal.aleph0_lt_contin…Cardinal.mk_real · cited by 11Cardinal.mk_realCardinal.aleph0_le_continuum · cited by 9Cardinal.aleph0_le_contin…Cardinal.lift_continuum · cited by 7Cardinal.lift_continuumCardinal.two_power_aleph0 · cited by 5Cardinal.two_power_aleph0Cardinal.mk_Ioo_real · cited by 5Cardinal.mk_Ioo_realCardinal.mk_Ioi_real · cited by 3Cardinal.mk_Ioi_realCardinal.nat_lt_continuum · cited by 3Cardinal.nat_lt_continuumCardinal.continuum_power_aleph0 · cited by 2Cardinal.continuum_power_…Cardinal.mk_Icc_real · cited by 2Cardinal.mk_Icc_realCardinal.nat_add_continuum · cited by 2Cardinal.nat_add_continuumCardinal.mk_complex · cited by 2Cardinal.mk_complexCardinal.nat_mul_continuum · cited by 2Cardinal.nat_mul_continuumIsClosed.two_pow_mk_lt_continuum · cited by 1IsClosed.two_pow_mk_lt_co…MeasurableSpace.cardinal_generateMeasurableRec_le · cited by 1MeasurableSpace.cardinal_…Cardinal · cited by 2598CardinalCardinal.aleph0 · cited by 521Cardinal.aleph0Cardinal.continuumCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by60

Results whose statement or proof uses this declaration.