Mathlib Map

Theorems · Theorem · group theory

IsUnit.set

∀ {α : Type u_2} [inst : Monoid α] {a : α}, IsUnit a → IsUnit {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
Monoid
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Around this declaration

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

Set.isUnit_singleton · cited by 0Set.isUnit_singletonSet.isUnit_iff · cited by 0Set.isUnit_iffSet · cited by 53352SetMonoid · cited by 3887MonoidIsUnit · cited by 1602IsUnitIsUnit.map · cited by 104IsUnit.mapSet.monoid · cited by 19Set.monoidSet.singletonMonoidHom · cited by 6Set.singletonMonoidHomIsUnit.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.