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Theorems · Theorem · logic and foundations

Cardinal.IsRegular.nat_lt

∀ {c : Cardinal.{u_1}}, c.IsRegular → ∀ (n : ℕ), ↑n < c
Defined in
Mathlib.SetTheory.Cardinal.Regular
Cited by
2 results in Mathlib
Foundations
Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
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Filter.eventually_cocardinal_ne · cited by 0Filter.eventually_cocardi…Filter.mem_cardinalGenerate_iff · cited by 0Filter.mem_cardinalGenera…Cardinal · cited by 2598Cardinallt_of_lt_of_le · cited by 438lt_of_lt_of_leCardinal.IsRegular · cited by 282Cardinal.IsRegularCardinal.natCast_lt_aleph0 · cited by 47Cardinal.natCast_lt_aleph0Cardinal.IsRegular.aleph0_le · cited by 22IsRegular.aleph0_leIsRegular.nat_ltCITED BYCITES

Cites5

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Cited by2

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