Theorems · Definition · number theory
ZMod.cast
{R : Type u_1} → [AddGroupWithOne R] → {n : ℕ} → ZMod n → RCast an integer modulo n to another semiring.
This function is a morphism if the characteristic of R divides n.
See ZMod.castHom for a bundled version.
- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 87 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
- Assumes
- AddGroupWithOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ZModstatement and proof · cited by 1,024
- ZMod.valproof · cited by 159
- AddGroupWithOnestatement and proof · cited by 111
Cited by93
Results whose statement or proof uses this declaration.
- ZMod.castHomproof · cited by 55
- ZMod.natCast_valstatement · cited by 27
- ZMod.cast_id'statement · cited by 10
- ZMod.intCast_caststatement · cited by 10
- ZMod.intCast_zmod_caststatement · cited by 10
- IsPrimitiveRoot.zmodEquivZPowersproof · cited by 9
- ZMod.coe_intCaststatement and proof · cited by 8
- ZMod.cast_idstatement and proof · cited by 7
- ZMod.unitsMap_surjectiveproof · cited by 7
- ZMod.chineseRemainderproof · cited by 6
- ZMod.liftproof · cited by 5
- ZMod.cast_natCaststatement · cited by 5