Theorems · Theorem · group theory
sdiv_div_sdiv_comm
∀ {G : Type u_1} {P : Type u_2} [inst : CommGroup G] [inst_1 : Torsor G P] (p₁ p₂ p₃ p₄ : P),
(p₁ /ₛ p₂) / (p₃ /ₛ p₄) = (p₁ /ₛ p₃) / (p₂ /ₛ p₄)- Defined in
- Mathlib.Algebra.Torsor.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- sdiv_smul_eq_sdiv_divproof · cited by 6
- sdiv_smul_commproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.