Theorems · Theorem · group theory
AddCommGroup.ModEq.zsmul
∀ {G : Type u_1} [inst : AddCommGroup G] {p a b : G} {z : ℤ}, a ≡ b [PMOD p] → z • a ≡ z • b [PMOD z • p]- Defined in
- Mathlib.Algebra.Group.ModEq
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext
- Assumes
- AddCommGroup
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommGroupstatement and proof · cited by 12,871
- AddCommGroup.ModEqstatement and proof · cited by 107
- mul_zsmul'proof · cited by 16
- mul_zsmulproof · cited by 5
- AddCommGroup.modEq_iff_zsmulproof · cited by 5
- zsmul_subproof · cited by 3
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