Theorems · Theorem · general topology
Filter.EventuallyConst.congr
∀ {α : Type u_1} {β : Type u_2} {l : Filter α} {f g : α → β},
Filter.EventuallyConst f l → f =ᶠ[l] g → Filter.EventuallyConst g l- Defined in
- Mathlib.Order.Filter.EventuallyConst
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.EventuallyConststatement and proof · cited by 93
- Filter.EventuallyEq.eventuallyConst_iffproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- QuasiErgodic.aeconst_set₀proof · cited by 3
- MeasureTheory.aeconst_of_forall_preimage_smul_ae_eqproof · cited by 2
- MeasureTheory.aeconst_of_forall_preimage_vadd_ae_eqproof · cited by 2