Theorems · Theorem · logic and foundations
Cardinal.continuum_power_aleph0
Cardinal.continuum ^ Cardinal.aleph0 = Cardinal.continuum
- Defined in
- Mathlib.SetTheory.Cardinal.Continuum
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement and proof · cited by 2,598
- le_rflproof · cited by 1,558
- Cardinal.aleph0statement and proof · cited by 521
- Cardinal.continuumstatement · cited by 60
- Cardinal.mul_eq_leftproof · cited by 8
- Cardinal.aleph0_ne_zeroproof · cited by 6
- Cardinal.two_power_aleph0proof · cited by 5
- Cardinal.power_mulproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- MeasurableSpace.cardinal_generateMeasurable_le_continuumproof · cited by 1
- Cardinal.power_aleph0_of_le_continuumproof · cited by 0