Theorems · Theorem · group theory
smul_sdiv_smul_comm
∀ {G : Type u_1} {P : Type u_2} [inst : CommGroup G] [inst_1 : Torsor G P] (v₁ v₂ : G) (p₁ p₂ : P),
v₁ • p₁ /ₛ v₂ • p₂ = v₁ / v₂ * (p₁ /ₛ p₂)- Defined in
- Mathlib.Algebra.Torsor.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommGroupstatement and proof · cited by 990
- mul_div_assocproof · cited by 149
- SDiv.sdivstatement and proof · cited by 79
- Torsorstatement and proof · cited by 65
- mul_comm_divproof · cited by 14
- smul_sdiv_assocproof · cited by 7
- sdiv_smul_eq_sdiv_divproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- div_mul_sdiv_commproof · cited by 0