Proof.hash_bucket_lt: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/proof.bend as Proof
Lines 62-63 of bend-collections-laws-math@1.0.0.0/proofs/math/proof.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/proof.bend&start_line=62&end_line=63

import Base
import bend-collections-laws-math@1.0.0.0/proofs/math/hash/hash.bend as PH
import bend-collections-laws-math@1.0.0.0/proofs/lib/word.bend as WD
import bend-collections-laws-math@1.0.0.0/spec/math/hash.bend as SH

def hash_bucket_lt(+w: U32, +k: Nat, +mask: U32, +hm: {mask == U32{WD.mask(32n, k)} : U32}) -> SH.Bucket.lt(w, k, mask, hm):
  PH.bucket_lt(w, k, mask, hm)

Uses (5):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/word.bend&name=mask
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/hash/hash.bend&name=bucket_lt
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/hash.bend&name=Bucket.lt