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Theorem validref-refs-last-valid-subset

⊦ r ∈ refs0 ∧ validrefs(str, refs0 + r1, ty, st0) ∧ validref(str, r, st[r -- _type] .type, st) ∧ st ⊆ st0 → validref(str, r1, st[r1 -- _type] .type, st)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 52
Proof steps: 122
Used lemmas: validrefs-array, validrefs-class, validrefs-null-02, validrefs-is-junk,
Used spec theorems:
Used simplifier rules:
- list/references/app
- list/references/c-03
- list/references/Nil
- list/references/inapp-08
- addfuns/is_valid_ref-field-in
- okfuns/isarray-type-02
- valuefuns/okval-refval
- addfuns/instfields-special
- okfuns/good-field-field-01
- store/javastore/In-store
- fieldspec/sel-03
- javatype/test-10
- typefuns/class-le
- javatype/inj-02
- javavalue/sel-11
- javatype/elim-02
- addfuns/isobj-instfields
- fieldspec/elim
- addfuns/is_valid_ref-isobj
- oelem/intlista/irreflexivity
- int-abs/forward-lels
- javavalue/sel-09
- int-abs/lels-03
- int-abs/zero-gels-04
- javavalue/sel-04
- junkrefs/validref-array-02
- junkrefs/validref-array-len-in
- okfuns/okarray-subset-01
- javatype/sel-01
- okfuns/subset-okarray
- addfuns/isobj-arraytype
- addfuns/is_valid_ref-array-01
- typefuns/array
- addfuns/isobj-arraytype-02
- javavalue/test-25
- javavalue/elim-02
- okfuns/oktype-okval
- int-abs/lels
- int-abs/lels-04
- int-abs/lels-01
- javavalue/test-92
- javavalue/elim-10
- javatype/test-09
- typefuns/typeex-array
- javatype/elim-01
- storefuns/instore-01
- okfuns/okarray-05
- typefuns/elemtype-rec
- addfuns/is_valid_ref-notin-01
- storefunsx/lookup-xtra
- store/javastore/notmemlookup
- javavalue/test-19
- javavalue/elim-13
- list/references/in-14
- list/references/in-15
- list/references/e-02
- list-data/references/elim-list-c
- int-abs/forward-le-01
- int-abs/forward-le-05
- addfuns/isarray-isobj-01
- addfuns/is_valid_ref
- list/references/e
- list/references/app-02-ant
- list/references/a
- list/references/in-17
- list/references/in-append
- list/references/c
- list/references/in-empty
- list/references/Last