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Theorems · Theorem · general topology

Filter.Germ.isConstant_comp_tendsto

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {l : Filter α} {f : α → β} {lc : Filter γ} {g : γ → α},
  (↑f).IsConstant → Filter.Tendsto g lc l → (↑(f ∘ g)).IsConstant
Defined in
Mathlib.Order.Filter.Germ.Basic
Cited by
2 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext, Quot.sound
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Filter.Germ.isConstant_comp_subtype · cited by 1Germ.isConstant_comp_subt…Filter.Germ.isConstant_compTendsto · cited by 0Germ.isConstant_compTends…Filter · cited by 8121FilterFilter.Tendsto · cited by 3814Filter.TendstoFilter.EventuallyEq · cited by 1912Filter.EventuallyEqFilter.Germ.ofFun · cited by 73Germ.ofFunFilter.Germ.IsConstant · cited by 9Germ.IsConstantFilter.EventuallyEq.comp_tendsto · cited by 5EventuallyEq.comp_tendstoGerm.isConstant_comp_tendstoCITED BYCITES

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