F64fmod.rfit: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64fmod.bend as F64fmod
Lines 110-112 of bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64fmod.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64fmod.bend&start_line=110&end_line=112

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/spec/math/w64.bend as SW
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/lib/nat.bend as N
import bend-collections-laws-math@1.0.0.0/proofs/lib/logic.bend as L
import bend-collections-laws-math@1.0.0.0/proofs/math/natural/misc.bend as MS
import bend-collections-laws-math@1.0.0.0/proofs/math/typed/w64sh.bend as SH

def rfit(+bp: Nat, +hB: {C.fits(53n, 1n+bp) == True{} : Bool}, +rw: WU.U64, +N0: Nat, +hr: {SW.value(rw) == Nat.mod(N0, 1n+bp) : Nat}) -> {C.fits(53n, SW.value(rw)) == True{} : Bool}:
  +f = SH.fits_lek(53n, Nat.mod(N0, 1n+bp), 1n+bp, N.lt_le(Nat.mod(N0, 1n+bp), 1n+bp, MS.divmod_lt(N0, bp)), hB)
  L.subst(Nat, u => {C.fits(53n, u) == True{} : Bool}, Nat.mod(N0, 1n+bp), SW.value(rw), Equal.sym(Nat, SW.value(rw), Nat.mod(N0, 1n+bp), hr), f)

Uses (11):
  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=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mod
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/logic.bend&name=subst
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/nat.bend&name=lt_le
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/natural/misc.bend&name=divmod_lt
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/w64sh.bend&name=fits_lek
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/lib/common.bend&name=fits
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/w64.bend&name=value
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/u64.bend&name=U64