Theorems · Theorem · logic and foundations
Cardinal.one_le_aleph0
1 ≤ Cardinal.aleph0
- Defined in
- Mathlib.SetTheory.Cardinal.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.leproof · cited by 2,189
- Cardinal.aleph0statement · cited by 521
- Cardinal.one_lt_aleph0proof · cited by 20
Cited by6
Results whose statement or proof uses this declaration.
- Cardinal.mul_eq_selfproof · cited by 13
- Cardinal.mul_eq_maxproof · cited by 8
- FreeAlgebra.cardinalMk_le_max_liftproof · cited by 2
- MeasurableSpace.cardinal_generateMeasurableRec_leproof · cited by 1
- Polynomial.cardinalMk_le_maxproof · cited by 1
- Algebra.rank_adjoin_leproof · cited by 0