Theorems · Theorem · number theory
Nat.image_cast_int_Ioi
∀ (a : ℕ), Nat.cast '' Set.Ioi a = Set.Ioi ↑a
- Defined in
- Mathlib.Data.Nat.Cast.SetInterval
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.imagestatement · cited by 5,609
- Set.rangeproof · cited by 4,705
- Set.Ioistatement · cited by 1,463
- IsUpperSetproof · cited by 148
- Nat.castOrderEmbeddingproof · cited by 13
- Nat.castOrderEmbedding_applyproof · cited by 11
- Nat.range_cast_intproof · cited by 6
- OrderEmbedding.image_Ioiproof · cited by 1
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