Theorems · Theorem · group theory
vsub_right_injective
∀ {G : Type u_1} {P : Type u_2} [inst : AddGroup G] [T : AddTorsor G P] (p : P), Function.Injective fun x => p -ᵥ xSubtracting a point from the point p is an injective function.
- Defined in
- Mathlib.Algebra.Torsor.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
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
- AddTorsorstatement and proof · cited by 1,657
- VSub.vsubstatement · cited by 817
- vsub_right_cancelproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- sbtw_const_vsub_iffproof · cited by 2
- mem_const_vsub_affineSegmentproof · cited by 1