Theorems · Theorem · number theory
ZMod.cast_zero
∀ {n : ℕ} {R : Type u_1} [inst : AddGroupWithOne R], ZMod.cast 0 = 0- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroupWithOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.cast_zeroproof · cited by 1,870
- ZModstatement · cited by 1,024
- Int.cast_zeroproof · cited by 188
- AddGroupWithOnestatement and proof · cited by 111
- ZMod.caststatement · cited by 87
- ZMod.val_zeroproof · cited by 12
Cited by4
Results whose statement or proof uses this declaration.
- PadicInt.appr_specproof · cited by 4
- MonoidHom.transfer_eq_prod_quotient_orbitRel_zpowers_quotproof · cited by 2
- PadicInt.ker_toZModproof · cited by 0
- ZMod.cast_zmod_eq_zero_iff_of_leproof · cited by 0