Theorems · Theorem · group theory
vadd_right_injective
∀ {G : Type u_1} {P : Type u_2} [inst : AddGroup G] [T : AddTorsor G P] (p : P), Function.Injective fun x => x +ᵥ pAdding a group element to the point p is an injective
function.
- Defined in
- Mathlib.Algebra.Torsor.Defs
- Cited by
- 2 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 by2
Results whose statement or proof uses this declaration.
- sbtw_vadd_const_iffproof · cited by 2
- mem_vadd_const_affineSegmentproof · cited by 2