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Theorem datasize-append

⊦ datasize(buf0 + buf1) = (datasize(buf1) = 0 ⊃ datasize(buf0);# buf0 + datasize(buf1))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 4
Used lemmas: datasize-base, datasize-append-lower-h, datasize-append-h-new, datasize,
Used spec theorems:
- Used simplifier rules:
  - array-splice/buffer/append-len
  - nat/le-def
  - nat-basic/ref
  - array-splice/buffer/append-a
  - nat/ler
  - nat/lep-02
  - min-max/min-add
  - nat/eq-01
  - nat/le-add
  - nat-basic/eq-01
  - nat-basic/a
  - nat-basic/c
  - nat-basic/add-base