Theorems · Theorem · number theory
ZMod.cast_natCast
∀ {n : ℕ} {R : Type u_1} [inst : Ring R] {m : ℕ} [CharP R m], m ∣ n → ∀ (k : ℕ), (↑k).cast = ↑k- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 5 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
- map_natCastproof · cited by 134
- ZMod.caststatement · cited by 87
- ZMod.castHomproof · cited by 55
Cited by5
Results whose statement or proof uses this declaration.
- PadicInt.zmod_cast_comp_toZModPowproof · cited by 4
- quadraticChar_neg_twoproof · cited by 2
- DirichletCharacter.factorsThrough_gcdproof · cited by 1
- DirichletCharacter.LSeries_changeLevelproof · cited by 0
- ZMod.cast_natCast'proof · cited by 0