TensorAccessCertificate.last_of_run: def of stelliferous@0.0.2.0
Import: import stelliferous@0.0.2.0/proofs/tensor_access_certificate.bend as TensorAccessCertificate
Lines 32-44 of stelliferous@0.0.2.0/proofs/tensor_access_certificate.bend: https://jend.leeeet.dev/read.txt?path=stelliferous@0.0.2.0/proofs/tensor_access_certificate.bend&start_line=32&end_line=44

import Base
import stelliferous@0.0.2.0/tensor_access.bend as Access
import stelliferous@0.0.2.0/traversal_array.bend as Traversal
import stelliferous@0.0.2.0/tensor_cursor.bend as Cursor
import stelliferous@0.0.2.0/proofs/traversal_witness.bend as TraversalWitness

# A strided operation keeps its owners through each part of a run: the stride
# steps, the state handed to the cursor, and the cursor step that ends the run.
# The lemmas are generic in the two element steps and in the evidence that
# each of them keeps.
def last_of_run(~Element: Data,+depth: Nat,extent: Nat,stride: U32,rewind: U32,rest: Cursor.Depth1(),-input: Array<Element>,
  -state: Traversal.State<&1,&1,Array<Element>,Array<Element>,Cursor.Stride>,
  evidence: TraversalWitness.StateEvidence<Array<Element>,Element,Cursor.Stride,input,depth,state>) ->
  TraversalWitness.StateEvidence<Array<Element>,Element,Cursor.Cursor,input,depth,Access.last_of_run(~Element,extent,stride,rewind,rest,state)>:
  match evidence:
    case TraversalWitness.StateEvidence{output,position,Cursor.Stride{address,step},equation,output_evidence}:
      %Equal.sym(Traversal.State<&1,&1,Array<Element>,Array<Element>,Cursor.Stride>,state,Traversal.State{input,output,position,Cursor.Stride{address,step}},equation) :
        TraversalWitness.StateEvidence<Array<Element>,Element,Cursor.Cursor,input,depth,Access.last_of_run(~Element,extent,stride,rewind,rest,_)>
      TraversalWitness.StateEvidence{output,position,Cursor.Cursor{Cursor.Level{Cursor.Axis{extent,1n,stride,rewind},rest},address},{==},output_evidence}

Uses (12):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/traversal_witness.bend&name=StateEvidence
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/tensor_access.bend&name=last_of_run
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/tensor_cursor.bend&name=Axis
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/tensor_cursor.bend&name=Cursor
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/tensor_cursor.bend&name=Depth1
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/tensor_cursor.bend&name=Level
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/tensor_cursor.bend&name=Stride
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/traversal_array.bend&name=State