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Theorems · Theorem · logic and foundations

Cardinal.IsRegular.pos

∀ {c : Cardinal.{u_1}}, c.IsRegular → 0 < c
Defined in
Mathlib.SetTheory.Cardinal.Regular
Cited by
2 results in Mathlib
Foundations
Depth 72 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.IsRegular.ne_zero · cited by 1IsRegular.ne_zeroCardinal.IsRegular.ord_pos · cited by 0IsRegular.ord_posCardinal · cited by 2598CardinalLT.lt.trans_le · cited by 678lt.trans_leCardinal.IsRegular · cited by 282Cardinal.IsRegularCardinal.IsRegular.aleph0_le · cited by 22IsRegular.aleph0_leCardinal.aleph0_pos · cited by 9Cardinal.aleph0_posIsRegular.posCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.