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Theorem datasize-append-lower-h

m ≤ # buf0 ⊦ datasize(buf0 + buf1, m) = datasize(buf0, m)

Type: A user defined theorem
Validity: The proof is valid.
Features: ls,
Comment:
Used by: datasize-append, datasize-append-empty-h, datasize-append-h-new, datasize-empbuf, datasize-empbuf-h, datasize-split-empty-h,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 6
Used lemmas: datasize-rec, datasize-base,
Used spec theorems:
- Used simplifier rules:
  - nat-basic/f
  - array-splice/buffer/append-a
  - array-splice/buffer/append-at1
  - nat/succ-01
  - nat-basic/succ
  - nat-basic/eq-01
  - nat-basic/a
  - nat-basic/c
  - nat/lels-03