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Theorem is-encoded-unique

⊦ is-encoded(ns0, buf) → (is-encoded(ns1, buf) ↔ ns0 = ns1)

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: is-encoded-pad-unique, is-encoded-split-one,
Used by units in proved state: persistence-io-asm,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 11
Used lemmas: is-encoded-base, is-encoded-rec, is-encoded-size,
Used spec theorems:
- Used simplifier rules:
  - nat-mult/zero
  - array/buffer/Size-mkarray
  - nat-mult/zero-06
  - array-splice/buffer/append-len
  - nat/elim-pred-c
  - nat-basic/eq-01
  - encoding-fixed-size/encoding-nat/encoding-requires-space
  - nat-mult/coef-17
  - nat-mult/mult-c
  - nat-mult/mult-a
  - nat-mult/rsucc-02
  - set-basic/nat-set/Size-empty
  - nat-basic/z-01
  - nat-basic/oz
  - encoding-fixed-size/encoding-nat/is-encoded-size
  - set-basic/nat-set/size-zero-01
  - set-basic/nat-set/ne-01
  - array-splice/buffer/append-inj
  - encoding/encoding-nat/is-encoded-prefix
  - array-splice/buffer/append-a
  - set-union/nat-set/del-eq
  - set-union/nat-set/del-size
  - nat/add-01
  - nat-basic/add-base
  - nat-basic/a
  - nat-basic/c
  - nat/le-def
  - nat-basic/nls-fst
  - nat/ls-01
  - nat/lels
  - nat/lep-02