Words32.pow_one: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/lib/words32.bend as Words32
Lines 90-91 of bend-collections-laws-math@1.0.0.0/proofs/lib/words32.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/words32.bend&start_line=90&end_line=91

import Base
import bend-collections-laws-math@1.0.0.0/proofs/lib/u32.bend as UW
import bend-collections-laws-math@1.0.0.0/proofs/lib/word.bend as WD
import bend-collections-laws-math@1.0.0.0/spec/lib/common.bend as SC

def pow_one(+one: Nat, +h1: {one == 1n : Nat}, +d: Nat) -> {SC.pow2(d) == WD.sc(d, one) : Nat}:
  Equal.trans(Nat, SC.pow2(d), WD.sc(d, 1n), WD.sc(d, one), UW.pow2_scale(d), Equal.cong(Nat, Nat, o => WD.sc(d, o), 1n, one, Equal.sym(Nat, one, 1n, h1)))

Uses (7):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  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/u32.bend&name=pow2_scale
  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/spec/lib/common.bend&name=pow2