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Theorem validrefnotnull-array-len-subset

⊦ st ⊆ st0 ∧ val2int(st[r -- _length]) ≠ st0[r -- _length] .intval → ¬ validrefnotnull(`docs2store', r, mkarraytype(byte_type), st)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas: validrefnotnull-array-01, validrefnotnull-notnull, validrefnotnull-array,
Used spec theorems:
- store/javastore/subset-elem-eq-01
Used simplifier rules:
- valuefuns/intval-xtra
- store/javastore/notmemlookup
- storefunsx/lookup-xtra
- javavalue/disj-20
- storefuns/instore-01
- javavalue/sel-04
- javavalue/elim-02