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Theorem validrefs-applast-array-null

⊦ validrefs(str, refs + r ', ty, st) ∧ st[r -- i '] .refval = jvmref ∧ is_array(str, r, st) ∧ 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_reftype(st[r -- _type] .type .type) → validrefs(str, refs + r ' + jvmref ', ty, 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: 6
Proof steps: 20
Used lemmas: validrefs-null-01, validrefs-array, validrefs-append-01,
Used spec theorems:
Used simplifier rules:
- javavalue/test-25
- javavalue/elim-02
- valuefuns/okval-reftype
- okfuns/oktype-okval
- javavalue/test-92
- javavalue/elim-10
- javatype/test-09
- typefuns/typeex-array
- javatype/elim-01
- storefuns/instore-01
- okfuns/okarray-05
- typefuns/elemtype-rec
- valuefuns/refval-xtra
- int-abs/lels-03
- int-abs/lels-04
- list/references/first
- int-abs/lels
- int-abs/lels-01
- typefuns/ref
- list/references/c-07
- list/references/e
- list/references/app-02-ant
- list/references/c-08
- list-last/references/last-def
- list/references/a
- int-abs/forward-le-01
- int-abs/forward-le-05