Theorems · Theorem · group theory
sdiv_div_sdiv_cancel_right
∀ {G : Type u_1} {P : Type u_2} [inst : Group G] [T : Torsor G P] (p₁ p₂ p₃ : P), (p₁ /ₛ p₃) / (p₂ /ₛ p₃) = p₁ /ₛ p₂Cancellation dividing the results of two divisions.
- Defined in
- Mathlib.Algebra.Torsor.Defs
- 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.
Cites5
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
- SDiv.sdivstatement and proof · cited by 79
- Torsorstatement and proof · cited by 65
- sdiv_smulproof · cited by 6
- sdiv_smul_eq_sdiv_divproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- sdiv_left_cancelproof · cited by 2