def pow2u_shl_bound
bend-collections-laws-crypto@1.0.0.0 · proofs/lib/u32.bend:161
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/u32.bend as U32
import Base
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/nat.bend as N
import bend-collections-laws-crypto@1.0.0.0/spec/lib/common.bend as SC
161def pow2u_shl_bound(+p: Nat, +ih: {U32.to_nat(pow2u(p)) == SC.pow2(p) : Nat}) -> {Nat.is_lt(Nat.double(U32.to_nat(pow2u(p))), SC.pow2(2n+p)) == True{} : Bool}:
162 %Equal.sym(Nat, U32.to_nat(pow2u(p)), SC.pow2(p), ih) : {Nat.is_lt(Nat.double(_), SC.pow2(2n+p)) == True{} : Bool}
163 N.pow2_lt_succ(1n+p)