Theorems · Theorem · group theory
sdiv_left_cancel_iff
∀ {G : Type u_1} {P : Type u_2} [inst : Group G] [T : Torsor G P] {p₁ p₂ p : P}, p₁ /ₛ p = p₂ /ₛ p ↔ p₁ = p₂Dividing two points by the same point produces equal results if and only if those points are equal.
- Defined in
- Mathlib.Algebra.Torsor.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext
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- Groupstatement and proof · cited by 6,238
- SDiv.sdivstatement · cited by 79
- Torsorstatement and proof · cited by 65
- sdiv_left_cancelproof · cited by 2
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