F64divv.lo52: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64divv.bend as F64divv
Lines 71-73 of bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64divv.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64divv.bend&start_line=71&end_line=73

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/proofs/lib/nat.bend as N
import bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64round.bend as FR

# a normalized significand is in [2^52, 2^53)
def lo52(+one: Nat, +h1: {one == 1n : Nat}, +n: Nat, +h: {C.fits(52n, n) == False{} : Bool}) -> {Nat.is_le(C.shift(52n, one), n) == True{} : Bool}:
  N.not_lt_le(n, C.shift(52n, one), Equal.trans(Bool, Nat.is_lt(n, C.shift(52n, one)), C.fits(52n, n), False{}, FR.lt_fit(52n, one, h1, n), h))

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=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_le
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/nat.bend&name=not_lt_le
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64round.bend&name=lt_fit
  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/lib/common.bend&name=shift