Theorems · Theorem · convex and discrete geometry
affineSegment_eq_segment
∀ (R : Type u_1) {V : Type u_2} [inst : Ring R] [inst_1 : PartialOrder R] [inst_2 : AddCommGroup V]
[inst_3 : Module R V] [IsOrderedRing R] (x y : V), affineSegment R x y = segment R x y- Defined in
- Mathlib.Analysis.Convex.Between
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- PartialOrderstatement and proof · cited by 6,410
- Set.imageproof · cited by 5,609
- Set.Iccproof · cited by 1,702
- IsOrderedRingstatement and proof · cited by 777
- AffineMap.lineMapproof · cited by 254
- segmentstatement · cited by 120
- affineSegmentstatement and proof · cited by 22
Cited by4
Results whose statement or proof uses this declaration.
- mem_segment_iff_wbtwproof · cited by 4
- Sbtw.dist_lt_max_distproof · cited by 2
- Convex.asymptoticConeproof · cited by 0
- MeasureTheory.hausdorffMeasure_segmentproof · cited by 0