Theorems · Theorem · convex and discrete geometry
affineSegment_same
∀ (R : Type u_1) {V : Type u_2} {P : Type u_4} [inst : Ring R] [inst_1 : PartialOrder R] [inst_2 : AddCommGroup V]
[inst_3 : Module R V] [inst_4 : AddTorsor V P] [IsOrderedRing R] (x : P), affineSegment R x x = {x}- Defined in
- Mathlib.Analysis.Convex.Between
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Quot.sound
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Cites17
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 · cited by 53,352
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Preorderproof · cited by 7,952
- Ringstatement and proof · cited by 7,463
- PartialOrderstatement and proof · cited by 6,410
- Set.Iccproof · cited by 1,702
- AddTorsorstatement and proof · cited by 1,657
- IsOrderedRingstatement and proof · cited by 777
- Set.image_congrproof · cited by 533
- zero_le_oneproof · cited by 316
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