Theorems · Theorem · general topology
Filter.TendstoCofinite.mapDomain_add
∀ {α : Type u_1} {β : Type u_2} {M : Type u_5} (f : α → β) [inst : AddCommMonoid M] [inst_1 : Filter.TendstoCofinite f]
(u v : α → M),
Filter.TendstoCofinite.mapDomain f (u + v) =
Filter.TendstoCofinite.mapDomain f u + Filter.TendstoCofinite.mapDomain f v- 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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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- Finset.sumproof · cited by 5,195
- Finset.sum_congrproof · cited by 2,323
- Set.Finite.toFinsetproof · cited by 351
- Finset.sum_add_distribproof · cited by 131
- Filter.TendstoCofinitestatement and proof · cited by 28
- Filter.TendstoCofinite.finite_preimage_singletonproof · cited by 12
- Filter.TendstoCofinite.mapDomainstatement · cited by 4
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