Theorems · Theorem · group theory
AddSemiconjBy.neg_right_iff
∀ {G : Type u_1} [inst : AddGroup G] {a x y : G}, AddSemiconjBy a (-x) (-y) ↔ AddSemiconjBy a x y- Defined in
- Mathlib.Algebra.Group.Semiconj.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
- 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
- AddSemiconjBystatement and proof · cited by 56
- AddSemiconjBy.neg_symm_left_iffproof · cited by 3
- AddSemiconjBy.neg_neg_symm_iffproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- AddSemiconjBy.zsmul_rightproof · cited by 1
- AddCommute.neg_right_iffproof · cited by 1
- AddSemiconjBy.neg_rightproof · cited by 0