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Theorems · Theorem · logic and foundations

Cardinal.mk_set_eq_zero_iff

∀ {α : Type u} {s : Set α}, Cardinal.mk ↑s = 0 ↔ s = ∅
Defined in
Mathlib.SetTheory.Cardinal.Basic
Cited by
1 results in Mathlib
Foundations
Depth 28 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.mk_emptyCollection_iff · cited by 0Cardinal.mk_emptyCollecti…Set · cited by 53352SetSet.Elem · cited by 7166Set.ElemCardinal · cited by 2598CardinalCardinal.mk · cited by 942Cardinal.mkCardinal.mk_eq_zero_iff · cited by 11Cardinal.mk_eq_zero_iffSet.isEmpty_coe_sort · cited by 6Set.isEmpty_coe_sortCardinal.mk_set_eq_zero_iffCITED BYCITES

Cites6

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Cited by1

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