Theorems · Theorem · logic and foundations
Cardinal.nat_lt_continuum
∀ (n : ℕ), ↑n < Cardinal.continuum
- Defined in
- Mathlib.SetTheory.Cardinal.Continuum
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement · cited by 2,598
- LT.lt.transproof · cited by 370
- Cardinal.continuumstatement · cited by 60
- Cardinal.natCast_lt_aleph0proof · cited by 47
- Cardinal.aleph0_lt_continuumproof · cited by 11
Cited by3
Results whose statement or proof uses this declaration.
- Cardinal.nat_mul_continuumproof · cited by 2
- Cardinal.continuum_posproof · cited by 1
- MeasurableSpace.cardinal_generateMeasurable_le_continuumproof · cited by 1