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Theorem validrefs-put-notin-01

⊦ ¬ r ∈ refs ∧ fs ' ≠ _type ∧ fs ' ≠ _length ∧ oktype(val, fs .type, st) ∧ r -- fs ' ∈ st ∧ oktype(st[r -- fs '], fs .type, st) → (validrefs(str, refs + r0 ', ty, st[r -- fs ', val]) ↔ validrefs(str, refs + r0 ', ty, st))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 28
Proof steps: 68
Used lemmas: validrefs-null-02, validrefs-not, validrefs-array, validrefs-class, validrefs-is-junk, validrefs-null, validrefs-one,
Used spec theorems:
Used simplifier rules:
- int-abs/forward-lels
- int-abs/lels-03
- int-abs/lels-04
- int-abs/forward-le-01
- int-abs/forward-le-05
- javastore/at-other-01
- okfuns/is_array-put-field
- int-abs/lels
- int-abs/lels-01
- javavalue/sel-09
- javavalue/test-19
- javavalue/elim-13
- list/references/c-08
- javastore/look-ins
- addfuns/is_obj-put-01
- list/references/in-17
- list/references/in-append
- list/references/in-14
- list/references/in-15
- list-data/references/elim-list-c
- list/references/e-02
- addfuns/is_valid_ref-put-01
- list/references/app-02-ant
- list/references/e
- list/references/in-06
- list/references/c
- fieldspec/sel-03
- fieldspec/elim
- javastore/at-other-16
- storefuns/instore-01
- list/references/in-empty
- okfuns/oktype-okval
- list/references/a
- list/references/Nil