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Theorems · Theorem · general topology

Filter.smul_filter_le_smul_filter

∀ {α : Type u_2} {β : Type u_3} [inst : SMul α β] {f₁ f₂ : Filter β} {a : α}, f₁ ≤ f₂ → a • f₁ ≤ a • f₂
Defined in
Mathlib.Order.Filter.Pointwise
Cited by
1 results in Mathlib
Foundations
Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SMul
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IsUnit.smul_uniformity · cited by 2IsUnit.smul_uniformityFilter · cited by 8121FilterFilter.map_mono · cited by 63Filter.map_monoFilter.smul_filter_le_smul_fi…CITED BYCITES

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