Theorems · Theorem · real analysis
eVariationOn_id_Icc
∀ (a b : ℝ), eVariationOn id (Set.Icc a b) = ENNReal.ofReal (b - a)
The variation of the identity on Icc a b is b - a.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- ENNRealstatement · cited by 9,879
- Set.Iccstatement and proof · cited by 1,702
- ENNReal.ofRealstatement and proof · cited by 863
- Set.univ_interproof · cited by 258
- eVariationOnstatement and proof · cited by 90
- eVariationOn_idproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- BoundedVariationOn.id_Iccproof · cited by 0