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Theorem validfieldinits-one

⊦ validfieldinits((sk × val) ', st) ↔ is_fskey(sk) ∧ oktype(val, sk .fs .type, st) ∧ ( is_referencevalue(val) → val .refval = jvmref ∨ val .refval -- _type ∈ st ∧ is_typevalue(st[val .refval -- _type]) ∧ st[val .refval -- _type] .type ≤ sk .fs .type)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: validfieldinits-one-01, validfieldinits-one-02,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 6
Used lemmas: validfieldinits-all,
Used spec theorems:
- Used simplifier rules:
  - pair/fieldinit/inj
  - storekey/test
  - storekey/test-02
  - fieldspec/sel-03
  - list/fieldinit-assoclista/in-17
  - okfuns/oktype-okval
  - storekey/test-01
  - fieldspec/elim