Theorems · Theorem · number theory
Nat.Ico_filter_modEq_cast
∀ (a b : ℕ) {r v : ℕ},
Finset.map Nat.castEmbedding ({x ∈ Finset.Ico a b | x ≡ v [MOD r]}) = {x ∈ Finset.Ico ↑a ↑b | x ≡ ↑v [ZMOD ↑r]}- Defined in
- Mathlib.Data.Int.CardIntervalMod
- 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.
- Finsetstatement · cited by 13,712
- Finset.filterstatement · cited by 949
- Finset.mapstatement · cited by 747
- Finset.extproof · cited by 565
- Finset.Icostatement · cited by 450
- Nat.ModEqstatement and proof · cited by 225
- Int.ModEqstatement and proof · cited by 147
- Nat.castEmbeddingstatement · cited by 29
- Nat.castEmbedding_applyproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- Nat.Ico_filter_modEq_cardproof · cited by 1