Theorems · Theorem · general topology
Filter.BoundedAtFilter.mul_zeroAtFilter
∀ {α : Type u_2} {β : Type u_3} [inst : SeminormedRing β] {l : Filter α} {f g : α → β},
l.BoundedAtFilter f → l.ZeroAtFilter g → l.ZeroAtFilter (f * g)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedRing
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- Filterstatement and proof · cited by 8,121
- mul_oneproof · cited by 3,885
- SeminormedRingstatement and proof · cited by 446
- Asymptotics.IsLittleOproof · cited by 375
- Asymptotics.isLittleO_one_iffproof · cited by 20
- Asymptotics.IsBigO.mul_isLittleOproof · cited by 15
- Filter.BoundedAtFilterstatement and proof · cited by 14
- Filter.ZeroAtFilterstatement and proof · cited by 11
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