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Theorems · Theorem · group theory

AddSemiconjBy.addUnits_of_val

∀ {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
2 results in Mathlib
Foundations
Depth 12 from the axioms · uses no axioms
Assumes
AddMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddSemiconjBy.addUnits_val_iff · cited by 1AddSemiconjBy.addUnits_va…AddCommute.addUnits_of_val · cited by 0AddCommute.addUnits_of_valAddMonoid · cited by 2864AddMonoidAddUnits · cited by 325AddUnitsAddUnits.val · cited by 248AddUnits.valAddSemiconjBy · cited by 56AddSemiconjByAddUnits.ext · cited by 25AddUnits.extAddSemiconjBy.addUnits_of_valCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.