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Theorems · Theorem · logic and foundations

Cardinal.toNat_apply_of_aleph0_le

∀ {c : Cardinal.{u_1}}, Cardinal.aleph0 ≤ c → Cardinal.toNat c = 0
Defined in
Mathlib.SetTheory.Cardinal.ToNat
Cited by
9 results in Mathlib
Foundations
Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
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Module.lt_rank_of_lt_finrank · cited by 3Module.lt_rank_of_lt_finr…Subalgebra.finrank_sup_le_of_free · cited by 2Subalgebra.finrank_sup_le…Cardinal.toNat_eq_of_forall_le_iff · cited by 1Cardinal.toNat_eq_of_fora…Cardinal.continuum_toNat · cited by 0Cardinal.continuum_toNatCardinal.aleph_toNat · cited by 0Cardinal.aleph_toNatCardinal.cast_toNat_of_aleph0_le · cited by 0Cardinal.cast_toNat_of_al…Cardinal.natCast_toNat_le · cited by 0Cardinal.natCast_toNat_leCardinal.aleph0_toNat · cited by 0Cardinal.aleph0_toNatIntermediateField.finrank_sup_le · cited by 0IntermediateField.finrank…DFunLike.coe · cited by 62936DFunLike.coeCardinal · cited by 2598CardinalMonoidWithZeroHom · cited by 704MonoidWithZeroHomCardinal.aleph0 · cited by 521Cardinal.aleph0Cardinal.toNat · cited by 153Cardinal.toNatCardinal.toNat_apply_of_aleph…CITED BYCITES

Cites5

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Cited by9

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