Theorems · Theorem · group theory
AddSemiconjBy.addUnits_val_iff
∀ {M : Type u_1} [inst : AddMonoid M] {a x y : AddUnits M}, AddSemiconjBy ↑a ↑x ↑y ↔ AddSemiconjBy a x y- Defined in
- Mathlib.Algebra.Group.Semiconj.Units
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement and proof · cited by 2,864
- AddUnitsstatement and proof · cited by 325
- AddUnits.valstatement · cited by 248
- AddSemiconjBystatement · cited by 56
- AddSemiconjBy.addUnits_of_valproof · cited by 2
- AddSemiconjBy.addUnits_valproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- AddCommute.addUnits_val_iffproof · cited by 0