Loop.snoc2: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/blake/blake3/loop.bend as Loop
Lines 43-46 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/blake/blake3/loop.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/blake/blake3/loop.bend&start_line=43&end_line=46

import Base
import bend-collections-laws-crypto@1.0.0.0/src/crypto/blake/blake3/types.bend as T
import bend-collections-laws-crypto@1.0.0.0/spec/lib/common.bend as SC
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/blake/blake3/lists.bend as LS

def snoc2(+r: List<&2,T.Out>, +x: T.Out) -> {SC.append(T.Out,init2(r,x),Con{last2(r,x),Nil{}}) == Con{x,r} : List<&2,T.Out>}:
  match r:
    case Nil{}: {==}
    case Con{+y,+q}: LS.cons_cong(T.Out,x,SC.append(T.Out,init2(q,y),Con{last2(q,y),Nil{}}),Con{y,q},snoc2(q,y))

Uses (6):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/blake/blake3/lists.bend&name=cons_cong
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/blake/blake3/loop.bend&name=init2
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/blake/blake3/loop.bend&name=last2
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/lib/common.bend&name=append
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/blake/blake3/types.bend&name=Out