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Proof step 7 from proof validref-put-statfield (previous step)

⊦ r = jvmref, r = jvmref ∨ (st[jvmref -- sk, val][r -- _type]) .type ≤ ty1 ∧ ¬ junkref(str, r, st[jvmref -- sk, val]) ↔ r = jvmref ∨ st[r -- _type] .type ≤ ty1 ∧ ¬ junkref(str, r, st)

User applied rule case distinction

And obtained the following new goals

Proof step 5:
r = jvmref ∨ (st[jvmref -- sk, val][r -- _type]) .type ≤ ty1 ∧ ¬ junkref(str, r, st[jvmref -- sk, val]) ⊦ r = jvmref ∨ st[r -- _type] .type ≤ ty1 ∧ ¬ junkref(str, r, st), r = jvmref
Proof step 6:
⊦ junkref(str, r, st[jvmref -- sk, val]) → junkref(str, r, st)

Rule argument

[CASEDARG : pos: right 2, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ r0 → (st[r0 -- sk0, val][r -- sk]) = st[r -- sk]])]]