Theorems · Definition · group theory
AddSemiconjBy
{M : Type u_2} → [Add M] → M → M → M → Propx is additive semiconjugate to y by a if a + x = y + a
- Defined in
- Mathlib.Algebra.Group.Semiconj.Defs
- Cited by
- 56 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- Add
Around this declaration
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Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by58
Results whose statement or proof uses this declaration.
- AddCommuteproof · cited by 185
- IsAddConjproof · cited by 17
- AddSemiconjBy.eqstatement and proof · cited by 10
- AddSemiconjBy.nsmul_rightstatement and proof · cited by 5
- AddSemiconjBy.addUnits_neg_rightstatement and proof · cited by 3
- AddSemiconjBy.addUnits_neg_symm_leftstatement and proof · cited by 3
- AddSemiconjBy.add_leftstatement and proof · cited by 3
- AddSemiconjBy.neg_neg_symm_iffstatement · cited by 3
- AddSemiconjBy.neg_right_iffstatement and proof · cited by 3
- AddSemiconjBy.neg_symm_left_iffstatement · cited by 3
- AddSemiconjBy.zero_leftstatement · cited by 3
- AddSemiconjBy.zero_rightstatement · cited by 3