Theorems · Theorem · real analysis
ENNReal.iUnion_Iio_coe_nat
⋃ n, Set.Iio ↑n = {⊤}ᶜ- Defined in
- Mathlib.Data.ENNReal.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- Compl.complstatement and proof · cited by 2,925
- Set.iUnionstatement · cited by 2,483
- Set.extproof · cited by 2,266
- Set.Iiostatement and proof · cited by 1,166
- Set.mem_iUnionproof · cited by 212
- ne_top_of_ltproof · cited by 50
- ENNReal.exists_nat_gtproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- ENNReal.iUnion_Iic_coe_natproof · cited by 3
- ENNReal.iInter_Ici_coe_natproof · cited by 0
- ENNReal.iUnion_Ioo_coe_natproof · cited by 0
- ENNReal.iUnion_Ico_coe_natproof · cited by 0