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Theorem validrefs-del-junkrefs

⊦ junkrefs(str, (r0 ' + refs) + r ', ty, st -- r) ∧ ¬ junkref(str, r0, st) ∧ r ≠ r0 ∧ ¬ r ∈ refs ∧ st[r0 -- _type] .type ≤ ty → validrefs(str, r0 ' + refs + r ', ty, st)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: exvalidrefs, exvalidrefs-03, exvalidrefs-maxlength, exvalidrefs-nodups,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 32
Proof steps: 70
Used lemmas: validrefs-array, validrefs-one, validrefs-null-01, validrefs-class, validrefs-null,
Used spec theorems:
Used simplifier rules:
- list/references/e-01
- list/references/c-08
- list/references/in-06
- list/references/c
- int-abs/lels-03
- int-abs/lels-04
- int-abs/lels
- int-abs/lels-01
- int-abs/forward-le-01
- int-abs/forward-le-05
- okfuns/is_array-del
- junkrefs/junkref-not-valid-01
- javavalue/sel-09
- fieldspec/sel-03
- javavalue/test-19
- javavalue/elim-13
- fieldspec/elim
- addfuns/is_obj-del
- storefuns/look-del
- list/references/first
- list/references/e
- junkrefs/junkrefs-null-02
- list/references/in-empty
- list/references/a
- list/references/Nil