F64mulp.rp62: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64mulp.bend as F64mulp
Lines 74-76 of bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64mulp.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64mulp.bend&start_line=74&end_line=76

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/f64.bend as SF
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/f64.bend as F
import bend-collections-laws-math@1.0.0.0/src/math/u64.bend as WU

# SoftFloat's rp62(s, e, sig) for sig in [2^61, 2^63) is round(s, sig, e - 2180)
def rp62(+s: Bool, +e: Nat, +sig: WU.U64, +x: Nat, +hx: {Nat.add(x, 2180n) == e : Nat}, +hx1: {Nat.is_le(1n, x) == True{} : Bool}, +h61: {C.fits(61n, SW.value(sig)) == False{} : Bool}, +h63: {C.fits(63n, SW.value(sig)) == True{} : Bool}) -> {F.rp62(s, e, sig) == SF.round(s, SW.value(sig), x) : F.F64}:
  rp62_g(1n, {==}, s, e, sig, x, hx, hx1, h61, h63, 1073741824, {==})

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=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=Nat.is_le
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64mulp.bend&name=rp62_g
  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/f64.bend&name=round
  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/f64.bend&name=F64
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/f64.bend&name=rp62
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/u64.bend&name=U64