Theorems · Theorem · special functions
Real.map_exp_atBot
Filter.map Real.exp Filter.atBot = nhdsWithin 0 (Set.Ioi 0)
- Defined in
- Mathlib.Analysis.SpecialFunctions.Exp
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Filterstatement and proof · cited by 8,121
- Set.Elemproof · cited by 7,166
- nhdsWithinstatement and proof · cited by 1,912
- Set.Ioistatement and proof · cited by 1,463
- Real.expstatement · cited by 871
- Filter.mapstatement and proof · cited by 819
- Filter.atBotstatement and proof · cited by 512
- Filter.map_mapproof · cited by 80
- Real.expOrderIsoproof · cited by 12
- Real.coe_comp_expOrderIsoproof · cited by 5
- OrderIso.map_atBotproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Real.comap_exp_nhdsGT_zeroproof · cited by 1
- Real.tendsto_comp_exp_atBotproof · cited by 0