Theorems · Theorem · general topology
Set.Icc.continuous_convexComb_prod
∀ {a b : ℝ}, Continuous fun x => Set.Icc.convexComb x.1 x.2.1 x.2.2- Defined in
- Mathlib.Topology.UnitInterval
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.Elemstatement and proof · cited by 7,166
- Continuousstatement · cited by 2,592
- Set.Iccstatement and proof · cited by 1,702
- unitIntervalstatement and proof · cited by 607
- continuous_id'proof · cited by 295
- continuous_constproof · cited by 278
- Continuous.comp'proof · cited by 184
- continuous_subtype_valproof · cited by 159
- Continuous.prodMkproof · cited by 127
- Continuous.sndproof · cited by 77
Cited by2
Results whose statement or proof uses this declaration.
- Path.subpathAux_continuousproof · cited by 0
- Path.subpath_continuous_familyproof · cited by 0