Theorems · Theorem · number theory
ZMod.lift_coe
∀ (n : ℕ) {A : Type u_2} [inst : AddGroup A] (f : { f // f ↑n = 0 }) (x : ℤ), ((ZMod.lift n) f) ↑x = ↑f x- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
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 and proof · cited by 62,936
- Equivstatement · cited by 8,337
- AddGroupstatement and proof · cited by 4,410
- AddMonoidHomstatement and proof · cited by 3,230
- ZModstatement and proof · cited by 1,024
- ZMod.castproof · cited by 87
- Equiv.subtypeEquivRightproof · cited by 17
- Int.castAddHomproof · cited by 17
- ZMod.intCast_zmod_castproof · cited by 10
- ZMod.liftstatement · cited by 5
- AddMonoidHom.liftOfRightInverse_comp_applyproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- ZMod.toAddCircle_intCastproof · cited by 3
- ZMod.lift_comp_coeproof · cited by 0
- ZMod.lift_injectiveproof · cited by 0