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Theorem abs-padding-abs-failed-append

⊦ abs-padding(buf0) → ¬ abs-failed(buf0 + buf1)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 6
Used lemmas: abs-failed, abs-padding,
Used spec theorems:
- array-splice/buffer/append-a
- array-splice/buffer/append-inj
Used simplifier rules:
- align/is-aligned-multiplier
- align/is-aligned-add
- align/is-aligned-multiple-1
- nat-mult/two-02
- node-header-size/node-header-size-add-eq-0
- align/is-aligned-le-eq-zero
- nat/ge
- node-header/elim
- encoding-fixed-size-nonempty/encoding-node-header/is-encoded-not-garbage-nonempty
- encoding-fixed-size-nonempty/encoding-node-header/is-encoded-unique
- array-splice/buffer/append-len
- node-header-size/validtrailer-size
- array-splice/buffer/append-a
- node-header/inj
- nat-mult/two-zero-01
- node-header-size/nodeheader-notzero
- nat-mult/mult-a
- nat-mult/mult-c
- align/is-aligned-mod
- align/alignup-same
- abs-node/lfw-is-encoded-nodeheader-size
- nat/le-add
- nat-basic/z-01
- nat-basic/a
- nat-basic/c