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Proof step 4 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)

User applied rule exists right

And closed the goal!

Rule argument

[EXRARG : pos: right 5, [extquanttermlist: ([], sks0)abort:F, discard:T, computed:F]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : list, storekeys, Nil, ⊦ [] + sks = sks], [CSIMPNAMEDSEQ : list, storekeys, a, ⊦ (sks + sks0) + sks1 = sks + sks0 + sks1], [CSIMPNAMEDSEQ : list, storekeys, app-01, ⊦ sks + sks0 = sks + sks1 ↔ sks0 = sks1], [CSIMPNAMEDSEQ : storefuns, , lookup-empty, ⊦ st[r -- []] = refval(r)], [CSIMPNAMEDSEQ : javavalue, , sel-09, ⊦ refval(r) .refval = r], [CSIMPNAMEDSEQ : list-last, storekeys, eq-01-01, ⊦ sks ⊑ [] ↔ sks = []], [CSIMPNAMEDSEQ : list, storekeys, app-02-ant, ⊦ ¬ sks + sks0 ≠ [] ↔ sks = [] ∧ sks0 = []], [CSIMPNAMEDSEQ : list, storekeys, e, ⊦ sk ' ≠ []])], [EXTRATERMS : ([], sks0)]]