Mathlib Map

Theorems · Theorem · logic and foundations

Cardinal.aleph0_ne_zero

Cardinal.aleph0 ≠ 0
Defined in
Mathlib.SetTheory.Cardinal.Defs
Cited by
6 results in Mathlib
Foundations
Depth 27 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.aleph0_pos · cited by 9Cardinal.aleph0_posCardinal.continuum_power_aleph0 · cited by 2Cardinal.continuum_power_…Cardinal.continuum_mul_aleph0 · cited by 1Cardinal.continuum_mul_al…Cardinal.aleph0_le_mul_iff' · cited by 0Cardinal.aleph0_le_mul_if…Cardinal.isStrongLimit_aleph0 · cited by 0Cardinal.isStrongLimit_al…Cardinal.isSuccLimit_aleph0 · cited by 0Cardinal.isSuccLimit_alep…Cardinal · cited by 2598CardinalCardinal.aleph0 · cited by 521Cardinal.aleph0Cardinal.mk_ne_zero · cited by 2Cardinal.mk_ne_zeroCardinal.aleph0_ne_zeroCITED BYCITES

Cites3

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

Cited by6

Results whose statement or proof uses this declaration.