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Theorem exvalidrefs-maxlength

¬ junkref(str, r, st), ¬ cyclic(str, r, st) ⊦ ∃ refs. validrefs(str, refs, st[r -- _type] .type, st) ∧ refs ≠ [] ∧ ¬ dups(refs) ∧ refs .first = r ∧ ¬ has_reffield(refs .last, 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: 110
Proof steps: 240
Used lemmas: validrefs-del, validrefs-delete-02, validrefs-array, validrefs-delete, validrefs-newref, validrefs-del-junkrefs, validrefs-delete-01, validrefs-class, cyclic-def-simple, validrefs-one, validrefs-null-01, cyclic-not-null,
Used spec theorems:
Used simplifier rules:
- valuefuns/okval-void
- int-abs/lels-02
- int-abs/anti
- valuefuns/intval-xtra
- javavalue/elim-02
- int-abs/forward-le-01
- okfuns/oktype-okval
- okfuns/is_array-length-07
- javavalue/elim-10
- okfuns/okarray-05
- addfuns/is_valid_ref-array
- javatype/sel-01
- typefuns/array
- typefuns/subarray1
- javatype/test-09
- junkrefs/junkref-voidarray
- javatype/elim-01
- list/references/in-06
- okfuns/is_array-notin
- int-abs/lels-03
- int-abs/forward-le-05
- int-abs/ax-02
- okfuns/is_array-is-array
- int-abs/lels
- int-abs/lels-01
- addfuns/isarray-isobj-01
- okfuns/good-field-field-01
- valuefuns/okval-reftype
- store/javastore/In-store
- javavalue/test-92
- javatype/inj-02
- javavalue/sel-11
- addfuns/isobj-instfields
- storefuns/instore-01
- list-last/references/last-01
- list-last/references/l-05
- storefuns/newref-del-01
- list/references/e-02
- list-last/references/last-elim
- list-last/references/last-def
- list/references/app-02-ant
- list/references/in-empty
- addfuns/reffield-del
- list/references/app
- junkrefs/junkrefs-junkref
- addfuns/is_obj-classtype
- list/references/in-append
- list-dup/references/f
- junkrefs/junkrefs-notin-03
- list/references/in-13
- javatype/test-10
- addfuns/isobj-classtype
- javatype/elim-02
- list/references/in-01
- list-dup/references/rec
- list/references/e-01
- list/references/c
- list-dup/references/e-01
- list-data/references/elim-list-c
- storefuns/look-del
- addfuns/isobj-notin-05
- set-union/references/size-del-leq
- nat/lels
- storefunsx/refs-del
- addfuns/is_valid_ref-isobj
- javavalue/sel-09
- list/references/c-08
- list/references/a
- list/references/in-17
- list-dup/references/dups-cons
- javavalue/test-19
- javavalue/elim-13
- fieldspec/sel-03
- fieldspec/elim
- addfuns/is_obj-01
- junkrefs/junkref-not-valid-01
- typefuns/ref
- list/references/first
- list/references/e
- list-dup/references/c
- list-last/references/l
- addfuns/reffield-null
- junkrefs/junkref-null