Theorems · Theorem · logic and foundations
Cardinal.toNat_apply_of_lt_aleph0
∀ {c : Cardinal.{u}} (h : c < Cardinal.aleph0), Cardinal.toNat c = Classical.choose ⋯- Defined in
- Mathlib.SetTheory.Cardinal.ToNat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Cardinalstatement and proof · cited by 2,598
- MonoidWithZeroHomstatement · cited by 704
- Cardinal.aleph0statement and proof · cited by 521
- Cardinal.toNatstatement and proof · cited by 153
- Nat.cast_injectiveproof · cited by 39
- Cardinal.lt_aleph0statement and proof · cited by 19
- Cardinal.cast_toNat_of_lt_aleph0proof · cited by 9
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