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Theorems · Theorem · logic and foundations

Cardinal.beth_pos

∀ (o : Ordinal.{u_1}), 0 < Cardinal.beth o
Defined in
Mathlib.SetTheory.Cardinal.Aleph
Cited by
1 results in Mathlib
Foundations
Depth 101 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.beth_ne_zero · cited by 0Cardinal.beth_ne_zeroCardinal · cited by 2598CardinalOrdinal · cited by 1688OrdinalLT.lt.trans_le · cited by 678lt.trans_leCardinal.beth · cited by 35Cardinal.bethCardinal.aleph0_pos · cited by 9Cardinal.aleph0_posCardinal.aleph0_le_beth · cited by 1Cardinal.aleph0_le_bethCardinal.beth_posCITED BYCITES

Cites6

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.