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Theorem disjoint-nojunk-newref-subset-01

⊦ st ⊆ st1 ∧ ¬ junkref(str, r1, st) ∧ newref(r, st) ∧ (∀ r0. path∃(str, r, r0, st1) → newref(r0, st) ∨ r0 = jvmref) → disjoint(str, r1 ' + r ', st1)

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: 29
Proof steps: 59
Used lemmas: disjoint-def,
Used spec theorems:
- store/javastore/superset-elem-eq
- cyclic/validrefs-subset-equiv-01
- cyclic/validrefs-nopathex
- cyclic/validrefs-one
Used simplifier rules:
- storefuns/newref-in-03
- storefuns/newref-03
- cyclic/pathex-no-newref
- junkrefs/junkref-newref
- list/references/in-empty
- cyclic/pathex-one
- list-last/references/l-02
- list-last/references/lin-01
- list-last/references/l-in
- storefuns/instore-01
- junkrefs/junkref-keyin
- cyclic/validrefs-null-02
- list/references/app
- list-last/references/l
- list/references/e-01
- list/references/c
- list-data/references/elim-list-c
- list/references/a
- list/references/in-17
- list/references/in-append
- storefuns/newref-01