Theorems · Theorem · general topology
Nat.map_cast_int_atTop
Filter.map Nat.cast Filter.atTop = Filter.atTop
- Defined in
- Mathlib.Order.Filter.AtTopBot.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, 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 · cited by 8,121
- Filter.atTopstatement · cited by 2,405
- Filter.mapstatement · cited by 819
- Filter.map_atTop_eq_of_gc_preorderproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- HasSum.hasSum_symmetricIco_of_hasSum_symmetricIccproof · cited by 3
- mapClusterPt_atTop_zsmul_iff_nsmulproof · cited by 2
- SummationFilter.hasSum_symmetricIco_int_iffproof · cited by 1
- SummationFilter.hasSum_symmetricIcc_iffproof · cited by 0
- SummationFilter.hasSum_symmetricIoc_int_iffproof · cited by 0