TraversalLanesRefinement.advanced: def of stelliferous@0.0.2.0
Import: import stelliferous@0.0.2.0/proofs/traversal_lanes_refinement.bend as TraversalLanesRefinement
Lines 176-181 of stelliferous@0.0.2.0/proofs/traversal_lanes_refinement.bend: https://jend.leeeet.dev/read.txt?path=stelliferous@0.0.2.0/proofs/traversal_lanes_refinement.bend&start_line=176&end_line=181

import Base
import stelliferous@0.0.2.0/proofs/nat_to_u32_bounds.bend as Bounds

def advanced(+steps: Nat,+start: Nat) -> {stepped(steps,start) == U32.from_nat(Nat.add(steps,start)) : U32}:
  match steps:
    case 0n: {==}
    case 1n+ +rest:
      %Equal.sym(U32,stepped(rest,start),U32.from_nat(Nat.add(rest,start)),advanced(rest,start)) : {(_ + 1 : U32) == U32.from_nat(1n+Nat.add(rest,start)) : U32}
      Bounds.add_one(U32.from_nat(Nat.add(rest,start)))

Uses (8):
  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=Nat.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.from_nat
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/nat_to_u32_bounds.bend&name=add_one
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/traversal_lanes_refinement.bend&name=stepped