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Theorem is-encoded-app-one

⊦ is-encoded(nx + n ', buf) ↔ (∃ buf0, buf1. buf = buf0 + buf1 ∧ is-encoded(nx, buf0) ∧ is-encoded(rnode(n), buf1))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 15
Used lemmas: is-encoded-rec, is-encoded-base, is-encoded-one,
Used spec theorems:
- Used simplifier rules:
  - list/nat-list-set/Nil
  - array-splice/buffer/append-zero-left
  - list/nat-list-set/a
  - list/nat-list-set/c
  - encoding-page-size-nonempty/encoding-ref-node/is-encoded-size
  - array-splice/buffer/append-eq-left
  - array-splice/buffer/append-a
  - encoding-page-size-nonempty/encoding-ref-node/is-encoded-unique