Theorems · Theorem · general topology
Filter.eventuallyEq_of_mem
∀ {α : Type u} {β : Type v} {l : Filter α} {f g : α → β} {s : Set α}, s ∈ l → Set.EqOn f g s → f =ᶠ[l] g- Defined in
- Mathlib.Order.Filter.Basic
- Cited by
- 25 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Filterstatement and proof · cited by 8,121
- Filter.EventuallyEqstatement · cited by 1,912
- Set.EqOnstatement and proof · cited by 603
- Filter.eventually_of_memproof · cited by 43
Cited by25
Results whose statement or proof uses this declaration.
- ContDiffWithinAt.congrproof · cited by 13
- contDiffOn_succ_iff_fderivWithinproof · cited by 8
- intervalIntegral.continuousWithinAt_primitiveproof · cited by 6
- mdifferentiableAt_localFrameCoeffproof · cited by 4
- tendsto_rpow_neg_atTopproof · cited by 3
- contMDiffAt_localFrameCoeffproof · cited by 3
- MeasureTheory.integral_deriv_smul_comp_Ioiproof · cited by 2
- Real.ContinuousOn.eq_of_eqOn_Iooproof · cited by 2
- LSeries.tendsto_cpow_mul_atTopproof · cited by 2
- tendsto_rpow_div_mul_addproof · cited by 2
- AnalyticAt.analyticOrderAt_deriv_add_oneproof · cited by 2
- exp_neg_mul_rpow_isLittleO_exp_negproof · cited by 2