Theorems · Theorem · number theory
ZMod.cast_intCast
∀ {n : ℕ} {R : Type u_1} [inst : Ring R] {m : ℕ} [CharP R m], m ∣ n → ∀ (k : ℤ), (↑k).cast = ↑k- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- ZModstatement · cited by 1,024
- CharPstatement and proof · cited by 478
- ZMod.caststatement · cited by 87
- ZMod.castHomproof · cited by 55
- map_intCastproof · cited by 45
Cited by4
Results whose statement or proof uses this declaration.
- DirichletCharacter.changeLevel_eq_cast_of_dvd'proof · cited by 3
- ZMod.cast_intCast'proof · cited by 0
- mem_bot_iff_intCastproof · cited by 0
- ZMod.χ₈'_int_eq_χ₄_mul_χ₈proof · cited by 0