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Theorem validrefs-lastelem

validrefs(str, refs, ty, st) ∧ refs ≠ [] ∧ ¬ has_reffield(refs .last, st) ⊦ ∀ r. ¬ validrefs(str, refs + r ', 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: 35
Proof steps: 98
Used lemmas: validrefs-one, validrefs-array, validrefs-null-02, validrefs-empty, validrefs-class, validrefs-is-junk, validrefs-null,
Used spec theorems:
Used simplifier rules:
- valuefuns/intval-xtra
- javavalue/elim-02
- okfuns/oktype-okval
- okfuns/is_array-length-07
- javavalue/elim-10
- javatype/test-09
- addfuns/is_valid_ref-reftype
- javatype/elim-01
- okfuns/okarray-05
- typefuns/le-noreftype-01
- int-abs/ax-02
- okfuns/is_array-is-array
- int-abs/lels-04
- int-abs/lels-03
- int-abs/forward-le-01
- int-abs/forward-le-05
- int-abs/lels
- int-abs/lels-01
- javavalue/sel-09
- javavalue/refva-sel
- list/references/c-06
- list/references/inapp-08
- list/references/ni
- list-last/references/l-02
- okfuns/good-field-field-01
- valuefuns/okval-refval
- addfuns/instfields-special
- store/javastore/In-store
- javavalue/test-92
- javatype/test-10
- typefuns/class-le
- javatype/inj-02
- javavalue/sel-11
- javatype/elim-02
- storefuns/instore-01
- addfuns/isobj-instfields
- fieldspec/sel-03
- addfuns/is_obj-01
- list/references/in-empty
- list-last/references/l
- list/references/app
- list/references/c-03
- javavalue/test-19
- javavalue/elim-13
- list/references/in-17
- list/references/in-append
- list/references/in-14
- list/references/in-15
- list/references/e-02
- list-data/references/elim-list-c
- fieldspec/elim
- list/references/app-02-ant
- list/references/Nil
- list/references/e
- list/references/a
- list/references/e-01
- list/references/c