Theorems · Definition · convex and discrete geometry

Convexity.ConvexSpace.AffineMap.id

{R : Type u_1} →
  [inst : PartialOrder R] →
    [inst_1 : Semiring R] →
      [inst_2 : IsStrictOrderedRing R] →
        (X : Type u_2) → [inst_3 : Convexity.ConvexSpace R X] → Convexity.ConvexSpace.AffineMap R X X

The identity map, as a bundled affine map of convex spaces.

Defined in

Mathlib.Geometry.Convex.ConvexSpace.AffineMap

Cited by

3 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PartialOrderSemiringIsStrictOrderedRingConvexity.ConvexSpace