Theorems · Theorem · group theory
sdiv_mul_sdiv_cancel
∀ {G : Type u_1} {P : Type u_2} [inst : Group G] [T : Torsor G P] (p₁ p₂ p₃ : P), (p₁ /ₛ p₂) * (p₂ /ₛ p₃) = p₁ /ₛ p₃Cancellation multiplying the results of two divisions.
- Defined in
- Mathlib.Algebra.Torsor.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
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.
- Groupstatement and proof · cited by 6,238
- SemigroupAction.mul_smulproof · cited by 291
- SDiv.sdivstatement and proof · cited by 79
- Torsorstatement and proof · cited by 65
- sdiv_smulproof · cited by 6
- smul_right_cancelproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- sdiv_smul_eq_sdiv_divproof · cited by 6
- inv_sdiv_eq_sdiv_revproof · cited by 3
- sdiv_smul_commproof · cited by 1
- sdiv_div_sdiv_cancel_leftproof · cited by 1