Mathlib Map

Theorems · Theorem · general topology

IsAddUnit.filter

∀ {α : Type u_2} [inst : AddMonoid α] {a : α}, IsAddUnit a → IsAddUnit (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
AddMonoid
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Filter.isAddUnit_iff · cited by 0Filter.isAddUnit_iffFilter.isAddUnit_pure · cited by 0Filter.isAddUnit_pureFilter · cited by 8121FilterAddMonoid · cited by 2864AddMonoidIsAddUnit · cited by 215IsAddUnitIsAddUnit.map · cited by 16IsAddUnit.mapFilter.addMonoid · cited by 3Filter.addMonoidFilter.pureAddMonoidHom · cited by 3Filter.pureAddMonoidHomIsAddUnit.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.