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Proof step 12 from proof validfield-put-statfield (previous step)

sk0 .fs = mkfs(class, ty, fieldvar), r ≠ jvmref ∨ sk ≠ sk0 ⊦ goodfieldandtype(r, sk0, st[jvmref -- sk, val]) ∧ type∃(str, ty) ∧ ty ≠ void_type ∧ (is_reftype(ty) → validrefval(str, st[jvmref -- sk, val][r -- sk0], ty, st)) ↔ validfield(str, r, sk0, st)

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 11:
sk0 .fs = mkfs(class, ty, fieldvar), r ≠ jvmref ∨ sk ≠ sk0 ⊦ r -- sk0 = jvmref -- sk, goodfieldandtype(r, sk0, st[jvmref -- sk, val]) ∧ type∃(str, ty) ∧ ty ≠ void_type ∧ (is_reftype(ty) → validrefval(str, st[jvmref -- sk, val][r -- sk0], ty, st)) ↔ validfield(str, r, sk0, st)

Rule argument

[fma-arg: r -- sk0 = jvmref -- sk]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0])], [EXTRAFMAS : (r -- sk0 = jvmref -- sk)]]