Theorems · Theorem · general topology
Filter.map_add_atTop_eq_nat
∀ (k : ℕ), Filter.map (fun a => a + k) Filter.atTop = Filter.atTop
- Defined in
- Mathlib.Order.Filter.AtTopBot.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Filterstatement · cited by 8,121
- Filter.atTopstatement · cited by 2,405
- le_reflproof · cited by 2,061
- Filter.mapstatement · cited by 819
- Filter.map_atTop_eq_of_gcproof · cited by 5
Cited by5
Results whose statement or proof uses this declaration.
- Filter.tendsto_add_atTop_iff_natproof · cited by 23
- Filter.tendsto_add_atTop_natproof · cited by 19
- Filter.liminf_nat_addproof · cited by 1
- Pentagonal.tprod_one_sub_powproof · cited by 0
- MeasureTheory.Conservative.ae_forall_image_mem_imp_frequently_image_memproof · cited by 0