Theorems · Theorem · number theory
ZMod.castHom_injective
∀ {n : ℕ} (R : Type u_1) [inst : Ring R] [inst_1 : CharP R n], Function.Injective ⇑(ZMod.castHom ⋯ R)- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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 · cited by 10,189
- Ringstatement and proof · cited by 7,463
- ZModstatement and proof · cited by 1,024
- CharPstatement and proof · cited by 478
- dvd_reflstatement and proof · cited by 97
- injective_iff_map_eq_zeroproof · cited by 62
- ZMod.castHomstatement and proof · cited by 55
- map_intCastproof · cited by 45
- ZMod.intCast_surjectiveproof · cited by 8
- CharP.intCast_eq_zero_iffproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- ArithmeticFunction.carmichael_lcmproof · cited by 2
- ZMod.castHom_bijectiveproof · cited by 0