Theorems · Theorem · group theory
div_right_injective
∀ {G : Type u_3} [inst : Group G] {b : G}, Function.Injective fun a => b / a- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses Quot.sound
- Assumes
- Group
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.
- Groupstatement and proof · cited by 6,238
- div_eq_mul_invproof · cited by 715
- inv_injectiveproof · cited by 17
- mul_right_injectiveproof · cited by 15
Cited by5
Results whose statement or proof uses this declaration.
- Finset.ruzsa_triangle_inequality_div_div_divproof · cited by 3
- Set.infinite_divproof · cited by 0
- Set.finite_divproof · cited by 0
- div_right_injproof · cited by 0
- Finset.card_le_card_div_leftproof · cited by 0