Theorems · Theorem · real analysis
eVariationOn.eVariationOn_Ico_eq_Icc_of_continuousWithinAt
∀ {α : Type u_1} [inst : LinearOrder α] {E : Type u_2} [inst_1 : PseudoEMetricSpace E] [inst_2 : TopologicalSpace α]
[OrderTopology α] [DenselyOrdered α] {f : α → E} {a b : α},
ContinuousWithinAt f (Set.Iic a) a → eVariationOn f (Set.Ico b a) = eVariationOn f (Set.Icc b a)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
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- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- ENNRealstatement and proof · cited by 9,879
- LinearOrderstatement and proof · cited by 8,572
- Set.preimageproof · cited by 4,946
- Set.Iccstatement and proof · cited by 1,702
- PseudoEMetricSpacestatement and proof · cited by 1,536
- OrderTopologystatement and proof · cited by 1,355
- Set.Iicstatement and proof · cited by 1,111
- Set.Iocproof · cited by 971
- OrderDualproof · cited by 927
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