Theorems · Theorem · number theory
ZMod.ringHom_map_cast
∀ {n : ℕ} {R : Type u_1} [inst : NonAssocRing R] (f : R →+* ZMod n) (k : ZMod n), f k.cast = k- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Quot.sound
- Assumes
- NonAssocRing
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.
- DFunLike.coestatement · cited by 62,936
- RingHomstatement and proof · cited by 10,189
- ZModstatement and proof · cited by 1,024
- NonAssocRingstatement and proof · cited by 483
- ZMod.valproof · cited by 159
- map_natCastproof · cited by 134
- ZMod.caststatement · cited by 87
- map_intCastproof · cited by 45
- ZMod.natCast_zmod_valproof · cited by 29
Cited by2
Results whose statement or proof uses this declaration.
- ZMod.unitsMap_surjectiveproof · cited by 7
- ZMod.ringHom_rightInverseproof · cited by 2