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Theorem putarray-addarray-one

⊦ i = n→i(# vals) + 1 ∧ is_reftype(ty) → putArray(vals, r, 1, addarray(r, ty, i, st)) = addarray(r, ty, refval(jvmref) ' + vals, st)

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: 22
Proof steps: 47
Used lemmas: in-1dim-fskey, in-1dim-14, in-1dim-16, in-1dim-other-index, add-in-fskey, lookup-1init, lookup-1dim, in-init-01, in-1dim-01, add-at-04, length-1init-01, length-1dim, length-init, length-1dim-02, type-1init, type-1dim, add-in, type-in, at-field-1dim, add-at-ok, at-1dim-other-index, at-1dim, in-1dim-05, in-1init-02, zero-1init-05, add-at-other-index, in-add,
Used spec theorems:
Used simplifier rules:
- oelem/intlista/lel
- int-abs/forward-le-02
- intnat/pos-int
- specialkeys/len
- specialkeys/type-03
- javavalue/inj-09
- javavalue/inj-04
- list-del/javavalues/get-succ
- intnat/rax-04
- int-abs/numle-02
- int-abs/numleledel-01
- int-basic2/ls-01
- int-abs/elim-sub
- list-data/javavalues/l
- nat-basic1/z
- intnat/num-n2i-ls-02
- int-abs/forward-le-05
- int-abs/forward-le
- javavalue/inj-03
- valuefuns/initial-value-02
- int-abs/numls-02
- int-abs/mone-06
- intnat/nat2int
- storefuns/instore-01
- int-abs/forward-le-01
- int-abs/anti
- int-abs/lsone
- store/javastore/notmemlookup
- storefunsx/lookup-xtra
- int-basic1/ls-01
- list/javavalues/len
- list/javavalues/len-02
- list/javavalues/a
- intnat/n2i-add
- nat-basic2/a
- nat-basic2/c
- int-abs/succ-01
- storekey/test-08
- storekey/elim-04
- int-abs/lels-04
- int-abs/lels-03
- storekey/test-02
- storekey/test-01
- int-basic2/add-c
- int-basic2/add-a
- int-abs/lels-01
- int-abs/succ-02
- int-abs/lels
- int-abs/leone
- storekey/test
- refkey/sel-02
- refkey/sel-01
- storearrays/putArray-in