KernelTileWitness.tail: def of stelliferous@0.0.2.0
Import: import stelliferous@0.0.2.0/proofs/kernel_tile_witness.bend as KernelTileWitness
Lines 74-86 of stelliferous@0.0.2.0/proofs/kernel_tile_witness.bend: https://jend.leeeet.dev/read.txt?path=stelliferous@0.0.2.0/proofs/kernel_tile_witness.bend&start_line=74&end_line=86

import Base
import stelliferous@0.0.2.0/kernel_block.bend as Block
import stelliferous@0.0.2.0/kernel_tile.bend as Tile
import stelliferous@0.0.2.0/proofs/traversal_witness.bend as TraversalWitness

def tail(~State: Type,~Context: Data,~Evidence: @-state: State -> Data,
  ~read: State -> Context -> Nat -> State & F32,
  ~read_preserves: @-state: State -> @context: Context -> @index: Nat -> Evidence(state) -> TraversalWitness.Sample<State,F32,state,read(state,context,index)>,
  -state: State,+context: Context,-first: State & F32,evidence: Evidence(state),sample: TraversalWitness.Sample<State,F32,state,first>) ->
  TraversalWitness.Sample<State,Tile.Tile8,state,Tile.read_tail(~State,~Context,~read,first,context)>:
  TraversalWitness.Sample{head,equation} = sample
  %Equal.sym(State & F32,first,(state,head),equation) :
    TraversalWitness.Sample<State,Tile.Tile8,state,Tile.read_tail(~State,~Context,~read,_,context)>
  finish(~State,state,
    Block.read_pair(~State,~Tile.HeadContext<Context>,~Block.Twin<Block.Twin<F32>>,
      ~Block.read_pair(~State,~Tile.HeadContext<Context>,~Block.Twin<F32>,
        ~Block.read_pair(~State,~Tile.HeadContext<Context>,~F32,~Tile.read_with_head(~State,~Context,~read),~1n),~2n),~4n,state,Tile.HeadContext{head,context},0n),
    eight_head(~State,~Context,~Evidence,~read,~read_preserves,state,context,head,evidence))

Uses (14):
  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=stelliferous@0.0.2.0/kernel_block.bend&name=Twin
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/kernel_block.bend&name=read_pair
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/kernel_tile.bend&name=HeadContext
  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/kernel_tile.bend&name=read_tail
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/kernel_tile.bend&name=read_with_head
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/kernel_tile_witness.bend&name=eight_head
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/kernel_tile_witness.bend&name=finish
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/traversal_witness.bend&name=Sample