Theorems · Theorem · convex and discrete geometry
Nonneg.Icc_subset_segment
∀ {𝕜 : Type u_1} [inst : Field 𝕜] [inst_1 : LinearOrder 𝕜] [inst_2 : IsStrictOrderedRing 𝕜] {x y : { t // 0 ≤ t }},
Set.Icc x y ⊆ segment { t // 0 ≤ t } x y- Defined in
- Mathlib.Analysis.Convex.Segment
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- LinearOrderstatement and proof · cited by 8,572
- Fieldstatement and proof · cited by 7,404
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Set.Iccstatement and proof · cited by 1,702
- zero_leproof · cited by 382
- segmentstatement and proof · cited by 120
- Subtype.coe_le_coeproof · cited by 20
- Icc_subset_segmentproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Nonneg.segment_eq_Iccproof · cited by 2
- NNReal.Icc_subset_segmentproof · cited by 1