def shl_bound

bend-collections-laws-math@1.0.0.0 · proofs/lib/u32.bend:114

import Base
import bend-collections-laws-math@1.0.0.0/spec/lib/common.bend as SC
import bend-collections-laws-math@1.0.0.0/proofs/lib/lemmas/spec/numeric.bend as S

114def shl_bound(+w: Word(32n), +k: Nat, +h: {Nat.is_lt(Nat.double(U32.to_nat(U32{w})), SC.pow2(k)) == True{} : Bool}) -> {Nat.is_lt(Nat.double(S.unsigned(32n, w)), SC.pow2(k)) == True{} : Bool}:
115  %to_nat_word(w) : {Nat.is_lt(Nat.double(_), SC.pow2(k)) == True{} : Bool}
116  h