Theorems · Theorem · general topology
Filter.isAddUnit_iff
∀ {α : Type u_2} [inst : SubtractionMonoid α] {f : Filter α}, IsAddUnit f ↔ ∃ a, f = pure a ∧ IsAddUnit a- Defined in
- Mathlib.Order.Filter.Pointwise
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SubtractionMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement and proof · cited by 8,121
- AddUnitsproof · cited by 325
- AddUnits.valproof · cited by 248
- IsAddUnitstatement and proof · cited by 215
- SubtractionMonoidstatement and proof · cited by 208
- AddUnits.add_negproof · cited by 19
- AddUnits.neg_addproof · cited by 17
- Filter.pure_injectiveproof · cited by 6
- Filter.addMonoidstatement · cited by 3
- Filter.pure_add_pureproof · cited by 2
- IsAddUnit.filterproof · cited by 2
- Filter.add_eq_zero_iffproof · cited by 1
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