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Diff — Continuum hypothesis

Revision #2730 → #3190 · back to history

modifiedContinuum hypothesis7adf578324da
FieldFrom #2730To #3190
noteMathlib has the provable direction ℵ₁ ≤ 𝔠 but never defines or asserts CH itself (which is independent of ZFC).Mathlib has the provable direction ℵ₁ ≤ 𝔠 (Cardinal.aleph_one_le_continuum) but never defines or asserts CH itself, which is independent of ZFC.
modifiedCH equivalent in aleph/beth numbersd5feb75e7a72
FieldFrom #2730To #3190
mathlib.declCardinal.aleph_one_le_continuumCardinal.two_power_aleph0
noteMathlib has 𝔠 = 2^ℵ₀ (Cardinal.two_power_aleph0) and ℵ₁ ≤ 𝔠 but not the equation 2^ℵ₀ = ℵ₁.Mathlib proves 𝔠 = 2^ℵ₀ (Cardinal.two_power_aleph0) and ℵ₁ ≤ 𝔠, but the equation 2^ℵ₀ = ℵ₁ is not stated.
addedCofinality3ba7e743e97c
addedCantor's theorem (diagonal argument)61d1b5a925fe
addedConstructible universe L1b476d0d69d2
addedHartogs numberd710be6823d8