Theorems · Theorem · group theory
AddSemiconjBy.eq_zero_iff
∀ {G : Type u_1} [inst : AddGroup G] (a : G) {x y : G}, AddSemiconjBy a x y → (x = 0 ↔ y = 0)- Defined in
- Mathlib.Algebra.Group.Semiconj.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- add_neg_cancel_rightproof · cited by 65
- AddSemiconjBystatement and proof · cited by 56
- AddSemiconjBy.eqproof · cited by 10
- addConj_eq_zero_iffproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- AddSemiconjBy.addOrderOf_eqproof · cited by 0