Theorems · Theorem · real analysis
NNReal.bddAbove_coe
∀ {s : Set NNReal}, BddAbove (NNReal.toReal '' s) ↔ BddAbove s- Defined in
- Mathlib.Data.NNReal.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 108 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 and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.imagestatement and proof · cited by 5,609
- NNRealstatement and proof · cited by 4,310
- NNReal.toRealstatement and proof · cited by 1,260
- BddAbovestatement and proof · cited by 620
- Set.mem_image_of_memproof · cited by 371
- Real.toNNRealproof · cited by 267
- upperBoundsproof · cited by 263
- le_max_of_le_leftproof · cited by 31
Cited by2
Results whose statement or proof uses this declaration.
- NNReal.coe_sSupproof · cited by 5
- NormedSpace.equicontinuous_TFAEproof · cited by 2