Theorems · Theorem · group theory
eq_of_vsub_eq_zero
∀ {G : Type u_1} {P : Type u_2} [inst : AddGroup G] [T : AddTorsor G P] {p₁ p₂ : P}, p₁ -ᵥ p₂ = 0 → p₁ = p₂If subtracting two points produces 0, they are equal.
- Defined in
- Mathlib.Algebra.Torsor.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
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- vsub_eq_zero_iff_eqproof · cited by 45