pith. machine review for the scientific record. sign in
structure definition def or abbrev

PrimitiveInterface

show as:
view Lean formalization →

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

generate prose now

formal statement (Lean)

  38structure PrimitiveInterface (K : Type*) where
  39  n : ℕ
  40  hpos : 0 < n
  41  observe : K → Fin n
  42
  43/-- The kernel of an interface: two configurations are indistinguishable
  44relative to the interface iff they produce the same observed outcome. -/
  45def PrimitiveInterface.kernel {K : Type*} (I : PrimitiveInterface K)
  46    (x y : K) : Prop :=

proof body

Definition body.

  47  I.observe x = I.observe y
  48
  49/-- A primitive observer is exactly a primitive interface. This is a naming
  50choice, but it is important: the observer is not external to recognition; it is
  51the interface structure recognition forces. -/

used by (26)

From the project-wide theorem graph. These declarations reference this one in their body.

depends on (22)

Lean names referenced from this declaration's body.