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Theorems · Theorem · logic and foundations

Cardinal.toNat_eq_one_iff_unique

∀ {α : Type u}, Cardinal.toNat (Cardinal.mk α) = 1 ↔ Subsingleton α ∧ Nonempty α
Defined in
Mathlib.SetTheory.Cardinal.ToNat
Cited by
1 results in Mathlib
Foundations
Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
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Nat.card_eq_one_iff_unique · cited by 15Nat.card_eq_one_iff_uniqueDFunLike.coe · cited by 62936DFunLike.coeCardinal · cited by 2598CardinalCardinal.mk · cited by 942Cardinal.mkMonoidWithZeroHom · cited by 704MonoidWithZeroHomCardinal.toNat · cited by 153Cardinal.toNatCardinal.toNat_eq_one · cited by 4Cardinal.toNat_eq_oneCardinal.eq_one_iff_unique · cited by 3Cardinal.eq_one_iff_uniqueCardinal.toNat_eq_one_iff_uni…CITED BYCITES

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