TraversalLanesWitness.stored: def of stelliferous@0.0.2.0
Import: import stelliferous@0.0.2.0/proofs/traversal_lanes_witness.bend as TraversalLanesWitness
Lines 98-108 of stelliferous@0.0.2.0/proofs/traversal_lanes_witness.bend: https://jend.leeeet.dev/read.txt?path=stelliferous@0.0.2.0/proofs/traversal_lanes_witness.bend&start_line=98&end_line=108

import Base
import stelliferous@0.0.2.0/traversal_lanes.bend as Lanes
import stelliferous@0.0.2.0/traversal_cells.bend as Cells
import stelliferous@0.0.2.0/kernel_tile.bend as Tile
import stelliferous@0.0.2.0/proofs/storage_witness.bend as Witness

def stored(~Context: Data,~map: Context -> F32 -> F32,+depth: Nat,-values: Array<F32>,-scratch: Array<Tile.Tile8>,+position: U32,+slot: U32,+context: Context,
  values_witness: Witness.Witness(F32,depth,values),scratch_witness: Witness.Witness(Tile.Tile8,6n,scratch),
  gathered: Gathered<values,Lanes.gather(~Context,~map,values,position,context)>) ->
  Evidence<Context,depth,Cells.stored(~Array<F32>,~Tile.Tile8,~Context,~Lanes.scatter,~8,position,slot,context,scratch,Lanes.gather(~Context,~map,values,position,context))>:
  match gathered:
    case Gathered{cell,equation}:
      +written = Witness.write(Tile.Tile8,6n,scratch,slot,cell,scratch_witness)
      %Equal.sym(Array<F32> & Tile.Tile8,Lanes.gather(~Context,~map,values,position,context),(values,cell),equation) :
        Evidence<Context,depth,Cells.stored(~Array<F32>,~Tile.Tile8,~Context,~Lanes.scatter,~8,position,slot,context,scratch,_)>
      scattered(~Context,depth,values,Array.set(Tile.Tile8,scratch,slot,cell),position,slot,context,values_witness,written,
        Witness.read(Tile.Tile8,6n,Array.set(Tile.Tile8,scratch,slot,cell),slot,written))

Uses (18):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array.set
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=F32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Sigma
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/kernel_tile.bend&name=Tile8
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/storage_witness.bend&name=Witness
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/storage_witness.bend&name=read
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/storage_witness.bend&name=write
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/traversal_lanes_witness.bend&name=Evidence
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/traversal_lanes_witness.bend&name=Gathered
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/traversal_lanes_witness.bend&name=scattered
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/traversal_cells.bend&name=stored
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/traversal_lanes.bend&name=gather
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/traversal_lanes.bend&name=scatter