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Theorems · Theorem · group theory

IsAddUnit.set

∀ {α : Type u_2} [inst : AddMonoid α] {a : α}, IsAddUnit a → IsAddUnit {a}
Defined in
Mathlib.Algebra.Group.Pointwise.Set.Basic
Cited by
2 results in Mathlib
Foundations
Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddMonoid
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Around this declaration

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

Set.isAddUnit_iff · cited by 2Set.isAddUnit_iffSet.isAddUnit_singleton · cited by 0Set.isAddUnit_singletonSet · cited by 53352SetAddMonoid · cited by 2864AddMonoidIsAddUnit · cited by 215IsAddUnitSet.addMonoid · cited by 18Set.addMonoidIsAddUnit.map · cited by 16IsAddUnit.mapSet.singletonAddMonoidHom · cited by 6Set.singletonAddMonoidHomIsAddUnit.setCITED BYCITES

Cites6

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.