Theorems · Theorem · group theory
AddCommGroup.ModEq.nsmul
∀ {M : Type u_1} [inst : AddCommMonoid M] {a b p : M} {n : ℕ}, a ≡ b [PMOD p] → n • a ≡ n • b [PMOD n • p]- Defined in
- Mathlib.Algebra.Group.ModEq
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
- Assumes
- AddCommMonoid
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.
- AddCommMonoidstatement and proof · cited by 12,281
- AddCommGroup.ModEqstatement and proof · cited by 107
- mul_nsmulproof · cited by 24
- nsmul_addproof · cited by 12
- AddCommGroup.modEq_iff_nsmulproof · cited by 11
- mul_nsmul'proof · cited by 8
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.