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Theorem ex-fits-validrefs-stronger

¬ junkref(str, r, st), fits(r, sks, st) ⊦ ∃ refs. validrefs(str, r ' + refs, st[r -- _type] .type, st) ∧ # refs = # sks ∧ (∀ sks0. sks0 ⊑ sks ∧ sks0 ≠ [] → st[r -- sks0] .refval = (r ' + refs)[# sks0])

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: ex-fits-validrefs,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 33
Proof steps: 82
Used lemmas: fits-storekeys-rec, fits-storekeys-empty,
Used spec theorems:
Used simplifier rules:
- list/storekeys/app
- storefuns/lookup-one
- list-del/references/get-zero-01
- list-last/storekeys/prefix-nil
- list/storekeys/e-01
- list-del/references/get-succ
- list-data/storekeys/elim-list-c
- javatype/sel-01
- fieldspec/sel-03
- cyclic/validrefs-null-02
- list/references/c-08
- list/references/e-01
- typefuns/subclass
- classnamefuns/le-reflexive
- int-abs/lels-04
- int-abs/lels-03
- javatype/test-09
- javatype/elim-01
- int-abs/lels
- int-abs/lels-01
- storekey/test-08
- storekey/elim-04
- int-abs/forward-le-01
- int-abs/forward-le-05
- javatype/diff-01
- okfuns/is_array-arraytype
- okfuns/is_array-classtype
- addfuns/instfields-index
- storekey/test-01
- storekey/test-05
- javavalue/sel-09
- junkrefs/junkref-null
- storekey/elim-03
- fieldspec/elim
- javatype/sel-02
- javatype/test-10
- javatype/elim-02
- javatype/diff
- addfuns/is_obj-classtype
- nat-basic2/c
- nat-basic2/a
- nat-basic2/eq-01
- list/references/len-02
- list/references/len
- javavalue/test-19
- javavalue/elim-13
- list/storekeys/a
- list/storekeys/len-02
- list/storekeys/len
- list/storekeys/c
- typefuns/ref
- junkrefs/junkref-not-valid-01
- list/references/a
- list/references/app
- list-last/storekeys/prefix-empty
- list-data/references/l
- list-data/storekeys/size-01