Theorems · Theorem · real analysis
variationOnFromTo.self
∀ {α : Type u_1} [inst : LinearOrder α] {E : Type u_2} [inst_1 : PseudoEMetricSpace E] (f : α → E) (s : Set α) (a : α),
variationOnFromTo f s a a = 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- ENNRealproof · cited by 9,879
- LinearOrderstatement and proof · cited by 8,572
- le_rflproof · cited by 1,558
- PseudoEMetricSpacestatement and proof · cited by 1,536
- ENNReal.toRealproof · cited by 859
- eVariationOnproof · cited by 90
- Set.Icc_selfproof · cited by 63
- variationOnFromTostatement · cited by 33
- eVariationOn.subsingletonproof · cited by 22
- ENNReal.toReal_zeroproof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- variationOnFromTo.eq_neg_swapproof · cited by 6