NatToU32Bounds.roundtrip: law of stelliferous@0.0.2.0
Import: import stelliferous@0.0.2.0/proofs/nat_to_u32_bounds.bend as NatToU32Bounds
Lines 71-76 of stelliferous@0.0.2.0/proofs/nat_to_u32_bounds.bend: https://jend.leeeet.dev/read.txt?path=stelliferous@0.0.2.0/proofs/nat_to_u32_bounds.bend&start_line=71&end_line=76

import Base

law roundtrip:
  for +n: Nat
  for +cap: U32
  for +cap_ok: {U32.is_le(cap,2147483648) == True{} : Bool}
  for h: {Nat.is_le(n,U32.to_nat(cap)) == True{} : Bool}
  {U32.to_nat(U32.from_nat(n)) == n : Nat}

Uses (14):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_le
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.from_nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.inc
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.is_le
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_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/nat_to_u32_bounds.bend&name=native_bound
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/nat_to_u32_bounds.bend&name=predecessor_strict
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/nat_to_u32_bounds.bend&name=strict_le
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/nat_to_u32_bounds.bend&name=uint_trans
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/u32_successor.bend&name=successor