F64bl.wval: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64bl.bend as F64bl
Lines 39-42 of bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64bl.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64bl.bend&start_line=39&end_line=42

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/f64.bend as F
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/math/typed/width.bend as WW
import bend-collections-laws-math@1.0.0.0/proofs/math/typed/u32laws.bend as LW
import bend-collections-laws-math@1.0.0.0/proofs/math/typed/w64sh.bend as SH

def wval(+n: Nat, +h64: {C.fits(64n, n) == True{} : Bool}) -> {SW.value(WU.U64{U32.from_nat(F.low_bits(32n, n)), U32.from_nat(F.high_bits(32n, n))}) == n : Nat}:
  +el = Equal.trans(Nat, v(U32.from_nat(F.low_bits(32n, n))), v(U32.from_nat(C.low(32n, n))), C.low(32n, n), Equal.cong(Nat, Nat, z => v(U32.from_nat(z)), F.low_bits(32n, n), C.low(32n, n), lbits(32n, n)), LW.vo(C.low(32n, n), WW.low_fits(32n, n)))
  +eh = Equal.trans(Nat, v(U32.from_nat(F.high_bits(32n, n))), v(U32.from_nat(C.high(32n, n))), C.high(32n, n), Equal.cong(Nat, Nat, z => v(U32.from_nat(z)), F.high_bits(32n, n), C.high(32n, n), hbits(32n, n)), LW.vo(C.high(32n, n), SH.fits_high(32n, 32n, n, h64)))
  Equal.trans(Nat, Nat.add(v(U32.from_nat(F.low_bits(32n, n))), C.shift(32n, v(U32.from_nat(F.high_bits(32n, n))))), Nat.add(C.low(32n, n), C.shift(32n, v(U32.from_nat(F.high_bits(32n, n))))), n, Equal.cong(Nat, Nat, z => Nat.add(z, C.shift(32n, v(U32.from_nat(F.high_bits(32n, n))))), v(U32.from_nat(F.low_bits(32n, n))), C.low(32n, n), el), Equal.trans(Nat, Nat.add(C.low(32n, n), C.shift(32n, v(U32.from_nat(F.high_bits(32n, n))))), Nat.add(C.low(32n, n), C.shift(32n, C.high(32n, n))), n, Equal.cong(Nat, Nat, z => Nat.add(C.low(32n, n), C.shift(32n, z)), v(U32.from_nat(F.high_bits(32n, n))), C.high(32n, n), eh), Equal.sym(Nat, n, Nat.add(C.low(32n, n), C.shift(32n, C.high(32n, n))), WW.low_high(32n, n))))

Uses (22):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  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.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.from_nat
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64bl.bend&name=hbits
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64bl.bend&name=lbits
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64bl.bend&name=v
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/u32laws.bend&name=vo
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/w64sh.bend&name=fits_high
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/width.bend&name=low_fits
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/width.bend&name=low_high
  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=high
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/lib/common.bend&name=low
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/lib/common.bend&name=shift
  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=high_bits
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/f64.bend&name=low_bits
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/u64.bend&name=U64