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Theorem validstatfields-put-statfield-04

⊦ sk ≠ sk0 ∧ ( ¬ is_fskey(sk0) ∨ sk0 .fs .type ≠ void_type ∨ sk0 .fs .field ≠ `initstate' .field ∧ sk0 .fs ≠ mkfs(`java.lang.Object' .class, void_type, `uninit' .field)) → (validstatfields(str, sk ' + sks, st[jvmref -- sk0, val]) ↔ validstatfield(str, sk, st) ∧ validstatfields(str, sks, st[jvmref -- sk0, val]))

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: 1
Proof steps: 4
Used lemmas: validstatfield-put-statfield, validstatfields-rec,
Used spec theorems:
- Used simplifier rules:
  - storekey/test-02
  - storekey/test
  - fieldspec/sel-03
  - fieldspec/inj
  - fieldspec/inj-01
  - storekey/test-01
  - list/storekeys/a
  - fieldspec/elim