def val0
bend-collections-laws-crypto@1.0.0.0 · proofs/math/typed/w64m128.bend:78
import bend-collections-laws-crypto@1.0.0.0/proofs/math/typed/w64m128.bend as W64m128
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
import bend-collections-laws-crypto@1.0.0.0/proofs/math/typed/width.bend as WW
78def val0(+x: U32) -> {SW.value(WU.U64{x, 0}) == v(x) : Nat}:
79 Equal.trans(Nat, Nat.add(v(x), C.shift(32n, 0n)), Nat.add(v(x), 0n), v(x), Equal.cong(Nat, Nat, z => Nat.add(v(x), z), C.shift(32n, 0n), 0n, WW.shift_zero(32n)), N.add_zero(v(x)))