Theorems · Theorem · number theory
Nat.image_cast_int_Ico
∀ (a b : ℕ), Nat.cast '' Set.Ico a b = Set.Ico ↑a ↑b
- Defined in
- Mathlib.Data.Nat.Cast.SetInterval
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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.Icostatement · cited by 799
- Set.OrdConnectedproof · cited by 161
- Nat.castOrderEmbeddingproof · cited by 13
- Nat.castOrderEmbedding_applyproof · cited by 11
- Nat.range_cast_intproof · cited by 6
- OrderEmbedding.image_Icoproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Nat.image_cast_int_Iioproof · cited by 0