IndexProofs.shift_value: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/shape/index_proofs.bend as IndexProofs
Lines 63-69 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=63&end_line=69

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

def shift_value(+a: Nat, +b: Nat, +index: Shape.Fin(b)) -> {Shape.Fin.value(Nat.add(a, b), Shape.Fin.shift(a, b, index)) == Nat.add(a, Shape.Fin.value(b, index)) : Nat}:
  match a:
    case 0n:
      {==}
    case 1n+p:
      %shift_value(p, b, index) : {1n+Shape.Fin.value(Nat.add(p, b), Shape.Fin.shift(p, b, index)) == 1n+_ : Nat}
      {==}

Uses (5):
  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.shift
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=Fin.value