Mathlib Map

Theorems · Theorem · general topology

IsUnit.filter

∀ {α : Type u_2} [inst : Monoid α] {a : α}, IsUnit a → IsUnit (pure a)
Defined in
Mathlib.Order.Filter.Pointwise
Cited by
2 results in Mathlib
Foundations
Depth 80 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.

Filter.isUnit_iff · cited by 0Filter.isUnit_iffFilter.isUnit_pure · cited by 0Filter.isUnit_pureFilter · cited by 8121FilterMonoid · cited by 3887MonoidIsUnit · cited by 1602IsUnitIsUnit.map · cited by 104IsUnit.mapFilter.monoid · cited by 4Filter.monoidFilter.pureMonoidHom · cited by 3Filter.pureMonoidHomIsUnit.filterCITED 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.