U32alg.swap: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/lib/u32alg.bend as U32alg
Lines 312-317 of bend-collections-laws-crypto@1.0.0.0/proofs/lib/u32alg.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/u32alg.bend&start_line=312&end_line=317

import Base

# a + (b + c) == b + (a + c)
def swap(+a: U32, +b: U32, +c: U32) -> {U32.add(a, U32.add(b, c)) == U32.add(b, U32.add(a, c)) : U32}:
  %assoc(a, b, c) : {_ == U32.add(b, U32.add(a, c)) : U32}
  %assoc(b, a, c) : {U32.add(U32.add(a, b), c) == _ : U32}
  %U32.add_comm(a, b) : {U32.add(U32.add(a, b), c) == U32.add(_, c) : U32}
  {==}

Uses (4):
  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.add_comm
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/u32alg.bend&name=assoc