WikiLean Articles · Brain · Recent changes · Proposals · Flags · Stats · About

Diff — Continuum hypothesis

Revision #3190 → #3704 · back to history

modifiedContinuum hypothesis7adf578324da
FieldFrom #3190To #3704
kinddefinitionproposition
provenanceaiai-moderated
modifiedGeneralized continuum hypothesis7a68c80adc11
FieldFrom #3190To #3704
noteNo GCH definition exists anywhere in Mathlib.No GCH definition exists anywhere in Mathlib (loogle finds no matching decl).
addedBijection97b4a9b50e36
addedCountable seteedc67277768
addedAxiom of choice68fd67f2c3ad
modifiedUnique smallest cardinal greater than aleph-null7981f711c720
FieldFrom #3190To #3704
noteℵ₁ = succ ℵ₀ (Cardinal.succ_aleph0) and Cardinal.aleph_one_le_iff (ℵ₁ ≤ c ↔ ℵ₀ < c) express that ℵ₁ is the least cardinal exceeding ℵ₀.Cardinal.aleph_one_le_iff (ℵ₁ ≤ c ↔ ℵ₀ < c), together with Cardinal.succ_aleph0, expresses that ℵ₁ is the least cardinal exceeding ℵ₀.
addedAleph numbers7fb49c1b376a
modifiedConstructible universe L1b476d0d69d2
FieldFrom #3190To #3704
noteGödel's constructible universe L is not developed in Mathlib.Gödel's constructible universe L is not developed in Mathlib (only topological 'constructible' notions exist).
modifiedFreiling's axiom of symmetry equivalent to ¬CH001b7a6cce21
FieldFrom #3190To #3704
noteFreiling's axiom of symmetry and its equivalence with ¬CH are absent from Mathlib.Freiling's axiom of symmetry and its equivalence with ¬CH are absent from Mathlib (loogle 'Freiling' returns nothing).
modifiedHartogs numberd710be6823d8
FieldFrom #3190To #3704
noteNo Hartogs number declaration exists in Mathlib (searched for 'hartogs' and 'Ordinal.hartogs' with no match).No Hartogs number declaration exists in Mathlib (loogle 'hartogs' returns zero matches).