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Theorems · Theorem · logic and foundations

Set.Infinite.card_eq_zero

∀ {α : Type u_1} {s : Set α}, s.Infinite → Nat.card ↑s = 0
Defined in
Mathlib.SetTheory.Cardinal.Finite
Cited by
2 results in Mathlib
Foundations
Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
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Set.natCard_add_le · cited by 1Set.natCard_add_leSet.natCard_mul_le · cited by 1Set.natCard_mul_leSet · cited by 53352SetSet.Elem · cited by 7166Set.ElemNat.card · cited by 844Nat.cardSet.Infinite · cited by 263Set.InfiniteNat.card_eq_zero_of_infinite · cited by 46Nat.card_eq_zero_of_infin…Infinite.card_eq_zeroCITED BYCITES

Cites5

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Cited by2

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