Theorems · Theorem · group theory
vadd_right_cancel_iff
∀ {G : Type u_1} {P : Type u_2} [inst : AddGroup G] [T : AddTorsor G P] {g₁ g₂ : G} (p : P), g₁ +ᵥ p = g₂ +ᵥ p ↔ g₁ = g₂- Defined in
- Mathlib.Algebra.Torsor.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- HVAdd.hVAddstatement · cited by 1,820
- AddTorsorstatement and proof · cited by 1,657
- vadd_right_cancelproof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- Finset.affineCombination_apply_eq_lineMap_sumproof · cited by 1
- AffineMap.pi_ext_zeroproof · cited by 1
- EuclideanGeometry.Sphere.ncard_inter_orthRadius_eq_two_of_dist_lt_radiusproof · cited by 1