Theorems · Theorem · group theory
sub_right_injective
∀ {G : Type u_3} [inst : AddGroup G] {b : G}, Function.Injective fun a => b - a- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses Quot.sound
- Assumes
- AddGroup
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
- sub_eq_add_negproof · cited by 1,023
- add_right_injectiveproof · cited by 36
- neg_injectiveproof · cited by 35
Cited by6
Results whose statement or proof uses this declaration.
- sub_right_injproof · cited by 9
- Finset.ruzsa_triangle_inequality_sub_sub_subproof · cited by 3
- Finset.card_le_card_sub_leftproof · cited by 1
- MeasureTheory.BorelCantelli.predictablePart_process_ae_eqproof · cited by 1
- Set.infinite_subproof · cited by 0
- Set.finite_subproof · cited by 0