Theorems · Theorem · group theory
isAddConj_iff
∀ {α : Type u} [inst : AddGroup α] {a b : α}, IsAddConj a b ↔ ∃ c, c + a + -c = b- Defined in
- Mathlib.Algebra.Group.Conj
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- AddUnitsproof · cited by 325
- neg_add_cancelproof · cited by 256
- AddUnits.valproof · cited by 248
- add_neg_cancelproof · cited by 213
- AddSemiconjByproof · cited by 56
- IsAddConjstatement and proof · cited by 17
- add_neg_eq_iff_eq_addproof · cited by 12
Cited by3
Results whose statement or proof uses this declaration.
- AddGroup.mem_addConjugatesOfSet_iffproof · cited by 2
- AddGroup.addConjugates_subset_normalproof · cited by 1
- AddGroup.addConj_mem_addConjugatesOfSetproof · cited by 0