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Theorem is-encoded-rec-append

⊦ is-encoded-rec(vtbl, buf) ∧ ¬ v ∈ vtbl ∧ # buf0 = ENCODED_NAT_SIZE + ENCODED_VOLID_SIZE ∧ is-encoded(v, subarray(buf0, 0, ENCODED_VOLID_SIZE)) ∧ is-encoded(n, subarray(buf0, ENCODED_VOLID_SIZE, ENCODED_NAT_SIZE)) → is-encoded-rec(vtbl[v, n], buf + buf0)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: decode, encode,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 10
Proof steps: 22
Used lemmas: is-encoded-rec-unique, is-encoded-rec, is-encoded-base, is-encoded-rec-size,
Used spec theorems:
- array-splice/encoding-nat-buffer/subarray-append-consec0
- store/vtbl/delete-put-rew
Used simplifier rules:
- array-copy/encoding-nat-buffer/size-subarray
- array-splice/encoding-nat-buffer/append-left-size0
- store/vtbl/In-empty
- nat-mult/zero
- store/vtbl/Size-empty
- store/vtbl/neq
- array/encoding-nat-buffer/Size-mkarray
- store/vtbl/Del-empty
- store/vtbl/Del-rec-same
- store/vtbl/At-same
- array-splice/encoding-nat-buffer/append-zero-right
- store/vtbl/insin
- array-copy/encoding-nat-buffer/subarray-elim
- nat-basic/lf-02
- nat-basic/lf-01
- nat-basic/f
- nat-basic/ls-02
- encoding-fixed-size/encoding-volid/is-encoded-size
- encoding-fixed-size/encoding-nat/is-encoded-size
- nat/elim-pred-c
- store/vtbl/empty
- store/vtbl/In-insert
- store/vtbl/At-in-out
- store/vtbl/size
- nat/pred-03
- encoding/encoding-volid/is-encoded-unique
- encoding/encoding-nat/is-encoded-unique
- nat/add-01
- nat-basic/add-base
- nat/le-def
- nat-basic/nls-fst
- nat/ls-01
- nat/lels
- nat/lep-02
- array-splice/encoding-nat-buffer/append-a
- array-splice/encoding-nat-buffer/append-len
- store/vtbl/Del-in
- store/vtbl/notin-del-notin
- store/vtbl/Size-insert
- nat-mult/rsucc-02
- nat-basic/a
- nat-basic/c
- nat-mult/mult-a
- nat-mult/mult-c
- nat-basic/eq-01