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Theorem encoding-shift

n < # lpt, # buf0 = # buf1, n * ENCODED_LPROPS_SIZE + ENCODED_LPROPS_SIZE ≤ # buf0 ⊦ subarray(buf0, 0, n * ENCODED_LPROPS_SIZE) = subarray(buf1, 0, n * ENCODED_LPROPS_SIZE) ∧ is-encoded(lpt, buf0, n) ∧ is-encoded(lpt[n], subarray(buf1, n * ENCODED_LPROPS_SIZE, ENCODED_LPROPS_SIZE)) → is-encoded(lpt, buf1, n + 1)

Type: A user defined theorem
Validity: The proof is valid.
Features: ss,
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: 8
Proof steps: 15
Used lemmas: lpt-size, is-encoded,
Used spec theorems:
- array/buffer/Extension
Used simplifier rules:
- nat-basic/s-04
- nat/fle-01
- encoding-fixed-size/encoding-lprops/encoding-requires-space
- encoding-fixed-size/encoding-lprops/is-encoded-size
- nat-basic/f
- nat-basic/add-base
- array-copy/buffer/subarray-at
- array-copy/buffer/size-subarray
- nat-mult/modls
- nat-mult/mult-a
- nat-mult/mult-c
- nat-basic/a
- nat-basic/c
- nat/lels
- nat/anti