def vn60

bend-collections-laws-math@1.0.0.0 · proofs/math/typed/f64sqv.bend:56

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/math/typed/f64round.bend as FR

56def vn60(+one: Nat, +h1: {one == 1n : Nat}, +nh: WU.U64, +h62: {C.fits(62n, SW.value(nh)) == True{} : Bool}, +h60: {C.fits(60n, SW.value(nh)) == False{} : Bool}) -> {Nat.is_le(C.shift(60n, one), SW.value(nh)) == True{} : Bool}:
57  N.not_lt_le(SW.value(nh), C.shift(60n, one), Equal.trans(Bool, Nat.is_lt(SW.value(nh), C.shift(60n, one)), C.fits(60n, SW.value(nh)), False{}, FR.lt_fit(60n, one, h1, SW.value(nh)), h60))