Theorems · Theorem · general topology
Path.range_subpathAux
∀ (t₀ t₁ : ↑unitInterval), Set.range (Set.Icc.convexComb t₀ t₁) = Set.uIcc t₀ t₁
- Defined in
- Mathlib.Topology.Subpath
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- Set.Elemstatement and proof · cited by 7,166
- Set.rangestatement · cited by 4,705
- Set.Iccstatement and proof · cited by 1,702
- unitIntervalstatement and proof · cited by 607
- Set.uIccstatement and proof · cited by 393
- sub_add_cancelproof · cited by 344
- Set.Icc.convexCombstatement and proof · cited by 19
- Set.left_mem_uIccproof · cited by 17
- Set.right_mem_uIccproof · cited by 13
- segment_eq_imageproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Path.range_subpathproof · cited by 2