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Proof step 6 from proof validfieldlist-put-statfield (previous step)

r ≠ jvmref ∨ sk ≠ sk0, ∀ r, sk, str, st, val. r ≠ jvmref ∨ ¬ sk ∈ sks0 → (validfieldlist(str, r, sks0, st[jvmref -- sk, val]) ↔ validfieldlist(str, r, sks0, st)), r ≠ jvmref ∨ sk ≠ sk0 ∧ ¬ sk ∈ sks0 ⊦ validfield(str, r, sk0, st) ∧ validfieldlist(str, r, sks0, st[jvmref -- sk, val]) ↔ validfield(str, r, sk0, st) ∧ validfieldlist(str, r, sks0, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
validfield(str, r, sk0, st), r ≠ jvmref ∨ sk ≠ sk0, ∀ r, sk, str, st, val. r ≠ jvmref ∨ ¬ sk ∈ sks0 → (validfieldlist(str, r, sks0, st[jvmref -- sk, val]) ↔ validfieldlist(str, r, sks0, st)), r ≠ jvmref ∨ sk ≠ sk0 ∧ ¬ sk ∈ sks0 ⊦ validfieldlist(str, r, sks0, st[jvmref -- sk, val]) ↔ validfieldlist(str, r, sks0, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]