Theorems · Theorem · convex and discrete geometry
wbtw_pointReflection
∀ (R : Type u_1) {V : Type u_2} {P : Type u_4} [inst : Field R] [inst_1 : LinearOrder R] [IsStrictOrderedRing R]
[inst_3 : AddCommGroup V] [inst_4 : Module R V] [inst_5 : AddTorsor V P] (x y : P),
Wbtw R y x ((AffineEquiv.pointReflection R x) y)- Defined in
- Mathlib.Analysis.Convex.Between
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- LinearOrderstatement and proof · cited by 8,572
- Fieldstatement and proof · cited by 7,404
- Nat.cast_oneproof · cited by 2,501
- IsStrictOrderedRingstatement and proof · cited by 2,490
- HVAdd.hVAddproof · cited by 1,820
- AddTorsorstatement and proof · cited by 1,657
- VSub.vsubproof · cited by 817
- AffineEquivstatement · cited by 191
- Wbtwstatement · cited by 165
Cited by3
Results whose statement or proof uses this declaration.
- sbtw_pointReflection_of_neproof · cited by 5
- wbtw_midpointproof · cited by 2
- AffineSubspace.wOppSide_pointReflectionproof · cited by 0