Theorems · Theorem · group theory
sdiv_smul_comm
∀ {G : Type u_1} {P : Type u_2} [inst : CommGroup G] [inst_1 : Torsor G P] (p₁ p₂ p₃ : P),
(p₁ /ₛ p₂) • p₃ = (p₃ /ₛ p₂) • p₁- 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommGroupstatement and proof · cited by 990
- SDiv.sdivstatement and proof · cited by 79
- Torsorstatement and proof · cited by 65
- smul_sdiv_assocproof · cited by 7
- sdiv_selfproof · cited by 6
- sdiv_smul_eq_sdiv_divproof · cited by 6
- sdiv_mul_sdiv_cancelproof · cited by 4
- sdiv_eq_one_iff_eqproof · cited by 3
- sdiv_div_sdiv_cancel_leftproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- sdiv_div_sdiv_commproof · cited by 0