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Proof step 32 from proof fits-put-02-stronger (previous step)

(st[r1 -- i ', byteval(by)][r -- sk]) = refval(r0), fits(r0, sks0, st[r1 -- i ', byteval(by)]), okarray(r1, byte_type, st), r1 ∈ st, is_arraytype(st[r -- _type] .type) → is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r -- _length] .intval, is_classtype(st[r -- _type] .type) → sk ∈ instfields(st[r -- _type] .type .class), ∀ r1, st, r, i, by, str. okarray(r1, byte_type, st) ∧ fits(r, sks0, st[r1 -- i ', byteval(by)]) ∧ r1 ∈ st → r1 = jvmref ∨ fits(r, sks0, st) ∨ junkref(str, r, st) ⊦ r = jvmref, r1 = jvmref, fits(r, sk ' + sks0, st), junkref(str, r, st)

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 31:
(st[r1 -- i ', byteval(by)][r -- sk]) = refval(r0), fits(r0, sks0, st[r1 -- i ', byteval(by)]), okarray(r1, byte_type, st), r1 ∈ st, is_arraytype(st[r -- _type] .type) → is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r -- _length] .intval, is_classtype(st[r -- _type] .type) → sk ∈ instfields(st[r -- _type] .type .class), ∀ r1, st, r, i, by, str. okarray(r1, byte_type, st) ∧ fits(r, sks0, st[r1 -- i ', byteval(by)]) ∧ r1 ∈ st → r1 = jvmref ∨ fits(r, sks0, st) ∨ junkref(str, r, st) ⊦ r -- sk = r1 -- i ', r = jvmref, r1 = jvmref, fits(r, sk ' + sks0, st), junkref(str, r, st)

Rule argument

[fma-arg: r -- sk = r1 -- i ']

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0], [CSIMPSEQ : ⊦ (st[rk, val][rk]) = val], [CSIMPSEQ : ⊦ byteval(by) ≠ refval(r)])], [EXTRAFMAS : (r -- sk = r1 -- i ')]]