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Theorem putar-in-02

⊦ r -- j ' ∈ putArray(vals, r, i, st) ↔ r -- j ' ∈ st ∨ i ≤ j ∧ j < i + n→i(# vals)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: putbar-in-02,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 8
Used lemmas: putArray-rec, putArray-empty,
Used spec theorems:
- javastore/instore-02
Used simplifier rules:
- oelem/intlista/sls
- int-basic1/ls-01
- int-abs/succ-02
- storekey/inj-04
- store/javastore/In-insert
- refkey/inj-01
- storefuns/instore-01
- oelem/intlista/lel
- storefuns/refin
- oelem/intlista/irreflexivity
- int-abs/ler
- int-basic2/ls
- intnat/nat2int-08
- int-abs/succ-01
- nat-basic2/c
- nat-basic2/a
- intnat/n2i-add
- list/javavalues/len-02
- list/javavalues/len
- list/javavalues/a
- list/javavalues/c
- list-data/javavalues/size-01
- int-basic2/ax-04
- int-basic2/add-a
- int-basic2/add-c
- int-abs/lels-04
- int-abs/lels
- int-abs/lels-01