Fixprime.not_value_one: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/number/fixprime.bend as Fixprime
Lines 150-152 of bend-collections-laws-math@1.0.0.0/proofs/math/number/fixprime.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/number/fixprime.bend&start_line=150&end_line=152

import Base
import bend-collections-laws-math@1.0.0.0/proofs/lib/u32alg.bend as UA

# UA.not_value with the unit kept open (n is 32 at the use)
def not_value_one(+n: Nat, +one: Nat, +h1: {one == 1n : Nat}, +b: Word(n)) -> {Nat.add(1n, Nat.add(UA.uw(n, Word.not(n, b)), UA.uw(n, b))) == UA.sc(n, one) : Nat}:
  Equal.trans(Nat, Nat.add(1n, Nat.add(UA.uw(n, Word.not(n, b)), UA.uw(n, b))), UA.sc(n, 1n), UA.sc(n, one), UA.not_value(n, b), Equal.cong(Nat, Nat, z => UA.sc(n, z), 1n, one, Equal.sym(Nat, one, 1n, h1)))

Uses (10):
  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=Base/base.bend&name=Nat.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.not
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/u32alg.bend&name=not_value
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/u32alg.bend&name=sc
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/u32alg.bend&name=uw