IndexProofs.merge_step: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/shape/index_proofs.bend as IndexProofs
Lines 32-37 of bendtorch-core@0.1.0.0/src/shape/index_proofs.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/shape/index_proofs.bend&start_line=32&end_line=37

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape

def merge_step(+a: Nat, +b: Nat, split: Either<Shape.Fin(a), Shape.Fin(b)>) -> {Shape.Fin.merge(1n+a, b, Shape.Fin.split.step(a, b, split)) == Shape.FNext{Shape.Fin.merge(a, b, split)} : Shape.Fin(1n+Nat.add(a, b))}:
  match split:
    case Inl{index}:
      {==}
    case Inr{index}:
      {==}

Uses (7):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Either
  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=bendtorch-core@0.1.0.0/src/shape/core.bend&name=Fin
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=Fin.Step
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=Fin.merge
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=Fin.split.step