Theorems · Theorem · real analysis
Real.range_cos
Set.range Real.cos = Set.Icc (-1) 1
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 176 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
- Realstatement · cited by 25,697
- Set.rangestatement · cited by 4,705
- Set.Iccstatement · cited by 1,702
- Real.cosstatement · cited by 424
- Set.Subset.antisymmproof · cited by 213
- Set.range_subset_iffproof · cited by 99
- Set.SurjOn.subset_rangeproof · cited by 6
- Real.surjOn_cosproof · cited by 2
- Real.cos_mem_Iccproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Real.range_cos_infiniteproof · cited by 0