Theorems · Theorem · convex and discrete geometry
wbtw_self_iff
∀ (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 y : P}, Wbtw R x y x ↔ y = x- Defined in
- Mathlib.Analysis.Convex.Between
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 48 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
- 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.Iccproof · cited by 1,702
- AddTorsorstatement and proof · cited by 1,657
- IsOrderedRingstatement and proof · cited by 777
- Set.image_congrproof · cited by 533
- Wbtwstatement and proof · cited by 165
- Set.Nonempty.image_constproof · cited by 26
- AffineMap.lineMap_sameproof · cited by 13
Cited by4
Results whose statement or proof uses this declaration.
- Wbtw.oangle_eq_leftproof · cited by 3
- Wbtw.left_ne_right_of_ne_leftproof · cited by 2
- wbtw_iff_of_leproof · cited by 1
- Wbtw.left_ne_right_of_ne_rightproof · cited by 0