U64bgcd.k16s: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/typed/u64bgcd.bend as U64bgcd
Lines 170-171 of bend-collections-laws-math@1.0.0.0/proofs/math/typed/u64bgcd.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/u64bgcd.bend&start_line=170&end_line=171

import Base
import bend-collections-laws-math@1.0.0.0/spec/lib/common.bend as C
import bend-collections-laws-math@1.0.0.0/proofs/math/typed/w64div.bend as W64D
import bend-collections-laws-math@1.0.0.0/proofs/math/typed/w64mul.bend as W64M
import bend-collections-laws-math@1.0.0.0/proofs/lib/word.bend as WD

def k16s(+one: Nat, +h1: {one == 1n : Nat}) -> {65536n == C.shift(16n, one) : Nat}:
  Equal.trans(Nat, 65536n, WD.sc(16n, one), C.shift(16n, one), W64D.k65536(one, h1), Equal.sym(Nat, C.shift(16n, one), WD.sc(16n, one), W64M.shift_sc(16n, one)))

Uses (7):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/word.bend&name=sc
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/w64div.bend&name=k65536
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/w64mul.bend&name=shift_sc
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/lib/common.bend&name=shift