def t62

bend-collections-laws-math@1.0.0.0 · proofs/math/typed/f64divq.bend:49

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/logic.bend as L
import bend-collections-laws-math@1.0.0.0/proofs/lib/lemmas/proofs/nat_algebra.bend as NA
import bend-collections-laws-math@1.0.0.0/proofs/math/typed/width.bend as WW

49def t62(+one: Nat, +h1: {one == 1n : Nat}, +d1: U32, +d2: U32) -> {C.fits(62n, Nat.add(C.shift(62n, one), C.high(2n, SW.value(WU.U64{d2, d1})))) == False{} : Bool}:
50  L.subst(Nat, z => {C.fits(62n, z) == False{} : Bool}, Nat.add(C.high(2n, SW.value(WU.U64{d2, d1})), C.shift(62n, one)), Nat.add(C.shift(62n, one), C.high(2n, SW.value(WU.U64{d2, d1}))), NA.add_comm(C.high(2n, SW.value(WU.U64{d2, d1})), C.shift(62n, one)), WW.unfit_one(62n, one, h1, C.high(2n, SW.value(WU.U64{d2, d1}))))