SignedPROOF.bound_inside: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/signed_PROOF.bend as SignedPROOF
Lines 586-590 of bendtorch-core@0.1.0.0/src/tensor/signed_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/signed_PROOF.bend&start_line=586&end_line=590

import Base
import bendtorch-core@0.1.0.0/src/tensor/signed.bend as Signed

def bound_inside(+limit: U32, +k: U32, +inside: {U32.is_lt(k, limit) == True{} : Bool}) ->
  {Nat.add(U32.to_nat(Signed.bound(limit, Signed.Last{k})), 1n+U32.to_nat(k)) == U32.to_nat(limit) : Nat}:
  %Equal.sym(Bool, U32.is_lt(k, limit), True{}, inside) :
    {Nat.add(U32.to_nat(Bool.pick(U32, Bool.not(_), 0, Signed.wrap(limit, Signed.Last{k}))), 1n+U32.to_nat(k)) == U32.to_nat(limit) : Nat}
  last_wrapped(limit, k, inside)

Uses (13):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.not
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.pick
  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.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/signed.bend&name=Position
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/signed.bend&name=bound
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/signed.bend&name=wrap
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/signed_PROOF.bend&name=last_wrapped