Theorems · Theorem · general topology
Filter.EventuallyEq.const_smul
∀ {α : Type u} {β : Type v} {γ : Type u_2} [inst : SMul γ β] {f g : α → β} {l : Filter α},
f =ᶠ[l] g → ∀ (c : γ), c • f =ᶠ[l] c • g- Defined in
- Mathlib.Order.Filter.Basic
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
- Assumes
- SMul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement and proof · cited by 8,121
- Filter.EventuallyEqstatement and proof · cited by 1,912
- Filter.EventuallyEq.fun_compproof · cited by 47
Cited by9
Results whose statement or proof uses this declaration.
- MeasureTheory.AEStronglyMeasurable.const_smulproof · cited by 11
- MeasureTheory.condExpIndL1Fin_smulproof · cited by 1
- MeasureTheory.condExpIndL1Fin_smul'proof · cited by 1
- ContinuousLinearMap.smul_compLpproof · cited by 1
- MeasureTheory.AEStronglyMeasurable.const_nsmulproof · cited by 1
- MeasureTheory.AEFinStronglyMeasurable.const_smulproof · cited by 0
- MeasureTheory.lpMeasToLpTrim_smulproof · cited by 0
- Filter.EventuallyEq.fun_const_smulproof · cited by 0