def uu
bend-collections-laws-crypto@1.0.0.0 · proofs/crypto/poly1305/final.bend:277
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/poly1305/final.bend as Final
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/proofs/lib/lemmas/proofs/nat_algebra.bend as NA
import bend-collections-laws-crypto@1.0.0.0/proofs/math/typed/width.bend as WW
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/poly1305/arith.bend as A
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/poly1305/value.bend as V
277def uu(+one: Nat, +h1: {one == 1n : Nat}) -> {Nat.is_le(Nat.add(V.pos(16n, one), V.pos(16n, one)), C.shift(130n, one)) == True{} : Bool}:
278 +u = V.pos(16n, one)
279 A.le_substl(Nat.double(u), Nat.add(u, u), C.shift(130n, one), NA.double_self(u), WW.shift_ge(1n, Nat.double(u)))