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Theorem junkref-subspec-samesubclasses

⊦ ¬ junkref(str0, r, st) ∧ same-subclasses-contains(st[r -- _type] .type .jtelemtype .class, str, str0) → ¬ junkref(str, r, st)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: validref-subspec-samesubclasses, validref-subspec-samesubclasses-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 37
Proof steps: 71
Used lemmas: same-subclasses-array-forward, same-subclasses-is-array, same-subclasses-class-forward, same-subclasses-is-obj,
Used spec theorems:
Used simplifier rules:
- javatype/test-09
- typefuns/hasct-05
- javatype/sel-01
- typefuns/elemtype-rec
- okfuns/is_array-arraytype
- javatype/elim-01
- int-abs/lels-03
- int-abs/lels
- int-abs/lels-04
- int-abs/lels-01
- int-abs/forward-le-01
- int-abs/forward-le-05
- junkrefs/junkref-null
- junkrefs/junkrefs-sametype
- junkrefs/junkrefs-junkref
- javavalue/sel-09
- fieldspec/sel-03
- junkrefs/junkrefs-runtimetype
- list/references/len
- list/references/len-02
- nat-basic2/s
- nat-basic1/ref-1
- nat-basic2/a
- nat-basic2/c
- javavalue/test-19
- javavalue/elim-13
- fieldspec/elim
- typefuns/ref
- junkrefs/junkrefs-null-02
- list/references/a
- list/references/e-01
- list/references/c
- list-data/references/elim-list-c