Theorems · Theorem · logic and foundations
Cardinal.aleph1_le_mk
Deprecated since 2026-03-23Use Cardinal.aleph0_lt_mk instead.
∀ (α : Type u_1) [Uncountable α], Cardinal.aleph 1 ≤ Cardinal.mk α
- Defined in
- Mathlib.SetTheory.Cardinal.Aleph
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Uncountable
Around this declaration
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Cardinalstatement · cited by 2,598
- Ordinalstatement · cited by 1,688
- Cardinal.mkstatement · cited by 942
- OrderEmbeddingstatement · cited by 619
- Cardinal.alephstatement · cited by 76
- Uncountablestatement and proof · cited by 27
Cited by0
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