F64divc.dsh4: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64divc.bend as F64divc
Lines 122-127 of bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64divc.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64divc.bend&start_line=122&end_line=127

import Base
import bend-collections-laws-math@1.0.0.0/spec/math/f64.bend as SF
import bend-collections-laws-math@1.0.0.0/src/math/f64.bend as F
import bend-collections-laws-math@1.0.0.0/src/math/u64.bend as WU
import bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64round.bend as FR

def dsh4(+s: Bool, +ea: Nat, +fa: WU.U64, +eb: Nat, +fb: WU.U64, +z: Bool) -> {F.div_za(s, ea, fa, eb, fb, z) == SF.pick(F.F64, z, F.zero(s), F.div_n(s, F.norm_e(ea, fa), F.norm_f(ea, fa), F.norm_e(eb, fb), F.norm_f(eb, fb))) : F.F64}:
  match z:
    case True{}:
      Equal.trans(F.F64, F.div_za(s, ea, fa, eb, fb, True{}), F.zero(s), SF.pick(F.F64, True{}, F.zero(s), F.div_n(s, F.norm_e(ea, fa), F.norm_f(ea, fa), F.norm_e(eb, fb), F.norm_f(eb, fb))), {==}, Equal.sym(F.F64, SF.pick(F.F64, True{}, F.zero(s), F.div_n(s, F.norm_e(ea, fa), F.norm_f(ea, fa), F.norm_e(eb, fb), F.norm_f(eb, fb))), F.zero(s), FR.pk_t(F.F64, F.zero(s), F.div_n(s, F.norm_e(ea, fa), F.norm_f(ea, fa), F.norm_e(eb, fb), F.norm_f(eb, fb)))))
    case False{}:
      Equal.trans(F.F64, F.div_za(s, ea, fa, eb, fb, False{}), F.div_n(s, F.norm_e(ea, fa), F.norm_f(ea, fa), F.norm_e(eb, fb), F.norm_f(eb, fb)), SF.pick(F.F64, False{}, F.zero(s), F.div_n(s, F.norm_e(ea, fa), F.norm_f(ea, fa), F.norm_e(eb, fb), F.norm_f(eb, fb))), {==}, Equal.sym(F.F64, SF.pick(F.F64, False{}, F.zero(s), F.div_n(s, F.norm_e(ea, fa), F.norm_f(ea, fa), F.norm_e(eb, fb), F.norm_f(eb, fb))), F.div_n(s, F.norm_e(ea, fa), F.norm_f(ea, fa), F.norm_e(eb, fb), F.norm_f(eb, fb)), FR.pk_f(F.F64, F.zero(s), F.div_n(s, F.norm_e(ea, fa), F.norm_f(ea, fa), F.norm_e(eb, fb), F.norm_f(eb, fb)))))

Uses (14):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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/math/typed/f64round.bend&name=pk_f
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64round.bend&name=pk_t
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/f64.bend&name=pick
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/f64.bend&name=F64
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/f64.bend&name=div_n
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/f64.bend&name=div_za
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/f64.bend&name=norm_e
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/f64.bend&name=norm_f
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/f64.bend&name=zero
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/u64.bend&name=U64