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Proof step 6 from proof fits-put-other (previous step)

is_classtype(st[r0 -- _type] .type) → sk ∈ instfields(st[r0 -- _type] .type .class), ∀ r, st, r0, sk, val. (fits(r, sks0, st[r0 -- sk, val]) ↔ fits(r, sks0, st)) ∨ sk = _length ∨ sk = _type ∨ (∃ sks2, sks1. sks0 = sks2 + sk ' + sks1 ∧ st[r -- sks2] .refval = r0 ∧ (∀ sks3. sks3 + sk ' ⊑ sks2 → st[r -- sks3] .refval ≠ st[r -- sks2] .refval)) ⊦ sk = _type, sk = _length, r0 = jvmref, is_referencevalue(val) ∧ (is_arraytype(st[r0 -- _type] .type) → is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r0 -- _length] .intval) ∧ fits(val .refval, sks0, st[r0 -- sk, val]) ↔ is_referencevalue(st[r0 -- sk]) ∧ (is_arraytype(st[r0 -- _type] .type) → ¬ is_fskey(sk) ∧ ¬ sk .index < 0 ∧ ¬ st[r0 -- _length] .intval ≤ sk .index) ∧ fits(st[r0 -- sk] .refval, sks0, st), ∃ sks, sks1. sk ' + sks0 = sks + sk ' + sks1 ∧ st[r0 -- sks] .refval = r0 ∧ (∀ sks3. sks3 + sk ' ⊑ sks → st[r0 -- sks3] .refval ≠ st[r0 -- sks] .refval)

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Rule argument

[fma-arg: r0 -- _length = r0 -- sk]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : refkey, , inj, ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0])], [EXTRAFMAS : (r0 -- _length = r0 -- sk)]]