Theorems · Theorem · general topology
Filter.TendstoCofinite.mapDomain_eq_zero
∀ {α : Type u_1} {β : Type u_2} {M : Type u_5} (f : α → β) [inst : AddCommMonoid M] [inst_1 : Filter.TendstoCofinite f]
(v : α → M) {i : β}, i ∉ Set.range f → Filter.TendstoCofinite.mapDomain f v i = 0- Defined in
- Mathlib.Order.Filter.TendstoCofinite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- AddCommMonoidstatement and proof · cited by 12,281
- Finset.sumproof · cited by 5,195
- Set.rangestatement and proof · cited by 4,705
- Set.toFinset_congrproof · cited by 33
- Filter.TendstoCofinitestatement and proof · cited by 28
- Set.toFinset_emptyproof · cited by 6
- Set.preimage_singleton_eq_emptyproof · cited by 5
- Filter.TendstoCofinite.mapDomainstatement · cited by 4
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