Theorems · Theorem · group theory
sdiv_div_sdiv_cancel_left
∀ {G : Type u_1} {P : Type u_2} [inst : CommGroup G] [inst_1 : Torsor G P] (p₁ p₂ p₃ : P),
(p₃ /ₛ p₂) / (p₃ /ₛ p₁) = p₁ /ₛ p₂Cancellation dividing the results of two divisions.
- Defined in
- Mathlib.Algebra.Torsor.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
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.
- mul_commproof · cited by 2,262
- CommGroupstatement and proof · cited by 990
- div_eq_mul_invproof · cited by 715
- SDiv.sdivstatement and proof · cited by 79
- Torsorstatement and proof · cited by 65
- sdiv_mul_sdiv_cancelproof · cited by 4
- inv_sdiv_eq_sdiv_revproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- sdiv_smul_commproof · cited by 1