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Theorems · Theorem · logic and foundations

Cardinal.IsSingular.natCast_lt

∀ {c : Cardinal.{u_1}}, c.IsSingular → ∀ (n : ℕ), ↑n < c
Defined in
Mathlib.SetTheory.Cardinal.Regular
Cited by
1 results in Mathlib
Foundations
Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cardinal.IsSingular.pos · cited by 1IsSingular.posCardinal · cited by 2598CardinalLT.lt.trans_le · cited by 678lt.trans_leCardinal.natCast_lt_aleph0 · cited by 47Cardinal.natCast_lt_aleph0Cardinal.IsSingular · cited by 21Cardinal.IsSingularCardinal.IsSingular.aleph0_le · cited by 3IsSingular.aleph0_leIsSingular.natCast_ltCITED BYCITES

Cites5

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Cited by1

Results whose statement or proof uses this declaration.