Theorems · Theorem · logic and foundations
Cardinal.aleph0_lt_mk
∀ {α : Type u} [Uncountable α], Cardinal.aleph0 < Cardinal.mk α- Defined in
- Mathlib.SetTheory.Cardinal.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Uncountable
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
- Cardinal.mkstatement · cited by 942
- Cardinal.aleph0statement · cited by 521
- Uncountablestatement and proof · cited by 27
- Cardinal.aleph0_lt_mk_iffproof · cited by 2
Cited by0
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