Theorems · Theorem · general topology
Set.Icc.continuous_convexComb
∀ {a b : ℝ} (x y : ↑(Set.Icc a b)), Continuous (Set.Icc.convexComb x y)- Defined in
- Mathlib.Topology.UnitInterval
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
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 · cited by 607
- continuous_constproof · cited by 278
- Continuous.comp'proof · cited by 184
- continuous_subtype_valproof · cited by 159
- Continuous.prodMkproof · cited by 127
- Continuous.fun_subproof · cited by 53
- Continuous.subtype_mkproof · cited by 51
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