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Theorem validrefs-all-same

⊦ validrefs(str, refs, ty, st) ∧ (∀ r. r ∈ refs ∧ r ≠ jvmref → st[r -- _type] = st0[r -- _type] ∧ (is_classtype(st[r -- _type] .type) → (∀ sk. sk ∈ instfields(st[r -- _type] .type .class) → st[r -- sk] = st0[r -- sk])) ∧ ( is_arraytype(st[r -- _type] .type) → st[r -- _length] = st0[r -- _length] ∧ (∀ i. 0 ≤ i ∧ i < st[r -- _length] .intval → st[r -- i '] = st0[r -- i ']))) → validrefs(str, refs, ty, st0)

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: 50
Proof steps: 139
Used lemmas: validrefs-array, validrefs-class, validrefs-null-02, validrefs-is-junk, validrefs-empty,
Used spec theorems:
Used simplifier rules:
- int-abs/forward-lels
- typefuns/array
- typefuns/ref
- typefuns/subarray1
- javavalue/test-25
- javavalue/elim-02
- int-abs/zero-gels-04
- okfuns/oktype-okval
- okfuns/okarray-05
- javatype/sel-01
- javatype/disj-22
- typefuns/elemtype-07
- typefuns/typeex-array
- javatype/test-09
- javatype/elim-01
- okfuns/is_array-arraytype
- okfuns/is_array-classtype
- int-abs/lels-04
- int-abs/lels-03
- int-abs/forward-le-01
- int-abs/forward-le-05
- javatype/diff-01
- javavalue/sel-09
- fieldspec/sel-03
- javavalue/test-19
- javavalue/elim-13
- list/references/in-17
- list/references/in-append
- list/references/e-01
- list-data/references/elim-list-c
- javavalue/test-03
- javavalue/test-01
- javavalue/test-123
- javavalue/test-45
- javavalue/test-222
- javavalue/test-239
- javavalue/test-256
- javavalue/test-306
- javavalue/test-02
- okfuns/good-field-field-01
- storekey/test-05
- storekey/elim-03
- okfuns/good-field-field
- storekey/test
- okfuns/good-field-index
- storekey/test-01
- javavalue/sel-11
- javavalue/test-92
- javavalue/elim-10
- javatype/sel-02
- storefuns/instore-01
- javavalue/test-91
- storefunsx/lookup-xtra
- store/javastore/notmemlookup
- javatype/disj-09
- valuefuns/typeval-xtra
- store/javastore/In-store
- javatype/test-10
- typefuns/class-le
- javatype/elim-02
- javatype/diff
- addfuns/is_obj-classtype
- fieldspec/elim
- list/references/in-06
- list/references/a
- list/references/c
- int-abs/lels
- int-abs/lels-01