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Theorems · Theorem · logic and foundations

Cardinal.IsInaccessible.pos

∀ {c : Cardinal.{u_1}}, c.IsInaccessible → 0 < c
Defined in
Mathlib.SetTheory.Cardinal.Regular
Cited by
1 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.IsInaccessible.ne_zero · cited by 1IsInaccessible.ne_zeroCardinal · cited by 2598CardinalLT.lt.trans · cited by 370lt.transCardinal.IsInaccessible · cited by 18Cardinal.IsInaccessibleCardinal.aleph0_pos · cited by 9Cardinal.aleph0_posCardinal.IsInaccessible.aleph0_lt · cited by 6IsInaccessible.aleph0_ltIsInaccessible.posCITED BYCITES

Cites5

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

Cited by1

Results whose statement or proof uses this declaration.