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Theorems · Theorem · logic and foundations

Cardinal.not_isSuccLimit_of_lt_aleph0

∀ {c : Cardinal.{u_1}}, c < Cardinal.aleph0 → ¬Order.IsSuccLimit c
Defined in
Mathlib.SetTheory.Cardinal.Basic
Cited by
3 results in Mathlib
Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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Cardinal.ciSup_add · cited by 2Cardinal.ciSup_addCardinal.ciSup_mul · cited by 2Cardinal.ciSup_mulCardinal.aleph0_le_of_isSuccLimit · cited by 1Cardinal.aleph0_le_of_isS…Cardinal · cited by 2598CardinalCardinal.aleph0 · cited by 521Cardinal.aleph0Order.IsSuccLimit · cited by 255Order.IsSuccLimitCardinal.lt_aleph0 · cited by 19Cardinal.lt_aleph0Cardinal.not_isSuccLimit_natCast · cited by 3Cardinal.not_isSuccLimit_…Cardinal.not_isSuccLimit_of_l…CITED BYCITES

Cites5

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Cited by3

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