Theorems · Theorem · number theory
ZMod.castHom_bijective
∀ {n : ℕ} (R : Type u_1) [inst : Ring R] [inst_1 : CharP R n] [inst_2 : Fintype R],
Fintype.card R = n → Function.Bijective ⇑(ZMod.castHom ⋯ R)- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHomstatement · cited by 10,189
- Fintypestatement and proof · cited by 7,736
- Ringstatement and proof · cited by 7,463
- Fintype.cardstatement and proof · cited by 1,386
- ZModstatement · cited by 1,024
- Function.Bijectivestatement · cited by 863
- CharPstatement and proof · cited by 478
- dvd_reflstatement and proof · cited by 97
- ZMod.castHomstatement and proof · cited by 55
- ZMod.cardproof · cited by 36
- Fintype.card_eq_zero_iffproof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- ZMod.ringEquivproof · cited by 1