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Theorems · Theorem · logic and foundations

Cardinal.mk_list_eq_aleph0

∀ (α : Type u) [Countable α] [Nonempty α], Cardinal.mk (List α) = Cardinal.aleph0
Defined in
Mathlib.SetTheory.Cardinal.Arithmetic
Cited by
1 results in Mathlib
Foundations
Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CountableNonempty
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Around this declaration

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

Cardinal.mk_list_eq_max · cited by 2Cardinal.mk_list_eq_maxCardinal · cited by 2598CardinalCardinal.mk · cited by 942Cardinal.mkCountable · cited by 633CountableCardinal.aleph0 · cited by 521Cardinal.aleph0LE.le.antisymm · cited by 507le.antisymmCardinal.aleph0_le_mk · cited by 32Cardinal.aleph0_le_mkCardinal.mk_le_aleph0 · cited by 9Cardinal.mk_le_aleph0Cardinal.mk_list_eq_aleph0CITED BYCITES

Cites7

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Cited by1

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