DivisionQuotient.unsigned_milliseconds: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/lib/lemmas/proofs/division_quotient.bend as DivisionQuotient
Lines 67-70 of bend-collections-laws-crypto@1.0.0.0/proofs/lib/lemmas/proofs/division_quotient.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/lemmas/proofs/division_quotient.bend&start_line=67&end_line=70

import Base
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/lemmas/src/wide.bend as W
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/lemmas/spec/numeric.bend as S

# Connection to the actual duration core and the public independent numeric
# specification's nonnegative branch. Negative sign handling is separate.
def unsigned_milliseconds(+word: Word(64n)) -> {W.unsigned_milliseconds(word) == S.quotient_signed(word, False{}) : Word(64n)}:
  Equal.trans(Word(64n), W.unsigned_milliseconds(word), quotient(64n, W.div_million(64n, word)), S.quotient_signed(word, False{}), native_projection(W.div_million(64n, word)), actual(64n, word))

Uses (9):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/lemmas/proofs/division_quotient.bend&name=actual
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/lemmas/proofs/division_quotient.bend&name=native_projection
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/lemmas/proofs/division_quotient.bend&name=quotient
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/lemmas/spec/numeric.bend&name=quotient_signed
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/lemmas/src/wide.bend&name=div_million
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/lemmas/src/wide.bend&name=unsigned_milliseconds