KernelTileWitness.with_head: def of stelliferous@0.0.2.0
Import: import stelliferous@0.0.2.0/proofs/kernel_tile_witness.bend as KernelTileWitness
Lines 29-36 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=29&end_line=36

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

def with_head(~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,-head: F32,+index: Nat,evidence: Evidence(state)) ->
  TraversalWitness.Sample<State,F32,state,Tile.read_with_head(~State,~Context,~read,state,Tile.HeadContext{head,context},index)>:
  match index:
    case 0n: TraversalWitness.Sample{head,{==}}
    case 1n+rest: read_preserves(state,context,1n+rest,evidence)

Uses (6):
  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=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=read_with_head
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/traversal_witness.bend&name=Sample