Theorems · Theorem · global analysis
uniqueDiffOn_Icc
∀ {a b : ℝ}, a < b → UniqueDiffOn ℝ (Set.Icc a b)- Cited by
- 21 results in Mathlib
- Foundations
- Depth 163 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
- Set.Nonemptyproof · cited by 2,627
- Set.Iccstatement · cited by 1,702
- UniqueDiffOnstatement · cited by 215
- interior_Iccproof · cited by 37
- convex_Iccproof · cited by 29
- uniqueDiffOn_convexproof · cited by 7
Cited by21
Results whose statement or proof uses this declaration.
- intervalIntegral.integral_deriv_of_contDiffOn_Iccproof · cited by 4
- uniqueDiffOn_uIccproof · cited by 3
- taylor_mean_remainderproof · cited by 2
- uniqueDiffOn_Icc_zero_oneproof · cited by 2
- setOfPred_riemannianEDist_lt_subset_nhdsproof · cited by 2
- Manifold.pathELength_comp_of_monotoneOnproof · cited by 2
- taylor_mean_remainder_boundproof · cited by 1
- hasDerivWithinAt_taylorWithinEval_at_Iccproof · cited by 1
- lintegral_fderiv_lineMap_eq_edistproof · cited by 1
- eventually_riemannianEDist_le_edist_extChartAtproof · cited by 1
- mfderiv_subtypeVal_Icc_oneproof · cited by 1
- mfderivWithin_comp_projIcc_oneproof · cited by 1