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Theorem is-encoded-rec-unique

⊦ is-encoded-rec(vtbl0, buf) → (is-encoded-rec(vtbl1, buf) ↔ vtbl0 = vtbl1)

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: decode, encode, is-encoded-rec-append, is-encoded-unique,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 13
Proof steps: 31
Used lemmas: is-encoded-rec, is-encoded-base, is-encoded-rec-size,
Used spec theorems:
- store/vtbl/exin
- array-splice/encoding-nat-buffer/append-inj
- store/vtbl/Extension
- store/vtbl/Del-at
Used simplifier rules:
- store/vtbl/notmemlookup
- store/vtbl/In-empty
- store/vtbl/In-insert
- nat-mult/coef-17
- store/vtbl/neq
- array-splice/encoding-nat-buffer/append-len
- store/vtbl/Size-empty
- nat-mult/zero
- nat-basic/z-01
- encoding-fixed-size/encoding-volid/encoding-requires-space
- encoding-fixed-size/encoding-volid/is-encoded-size
- encoding-fixed-size/encoding-nat/is-encoded-size
- nat-mult/mult-c
- nat-mult/mult-a
- nat-mult/rsucc-02
- array-splice/encoding-nat-buffer/append-inj
- encoding/encoding-nat/is-encoded-prefix
- array-splice/encoding-nat-buffer/append-a
- encoding/encoding-volid/is-encoded-unique
- nat-basic/s-04
- nat-basic/ref
- nat-basic/pred
- store/vtbl/Size-insert
- nat/pred-03
- store/vtbl/size
- store/vtbl/empty
- nat-basic/eq-01
- nat-basic/a
- nat-basic/c
- nat/elim-pred-c
- store/vtbl/Del-in
- store/vtbl/Del-at
- store/vtbl/lookupisempty