def zero64

bend-collections-laws-crypto@1.0.0.0 · proofs/math/typed/w64sh.bend:169

import Base
import bend-collections-laws-crypto@1.0.0.0/spec/lib/common.bend as C
import bend-collections-laws-crypto@1.0.0.0/spec/math/w64.bend as SW
import bend-collections-laws-crypto@1.0.0.0/src/math/u64.bend as WU
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/nat.bend as N

169def zero64(+l: U32, +h: U32, +k: Nat, +hk: {Nat.is_le(64n, k) == True{} : Bool}) -> {SW.value(WU.U64{0, 0}) == C.high(k, val(l, h)) : Nat}:
170  +hf = fits_mono(64n, k, val(l, h), hk, fit64(l, h))
171  Equal.trans(Nat, SW.value(WU.U64{0, 0}), v(0), C.high(k, val(l, h)), val0(0), Equal.sym(Nat, C.high(k, val(l, h)), 0n, N.eq_from_is_eq(C.high(k, val(l, h)), 0n, hf)))