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Proof step 553 from proof hasSharing-put-index-refval (previous step)

(st[r3 -- i ', refval(r4)][r -- sks0]) = refval(r1), st[r3 -- _type] .type = mkarraytype(ty), (st[r3 -- i ', refval(r4)][r4 -- sks3]) = refval(r1), st[r -- sks1] = refval(r3), is_referencevalue(st[r3 -- i ', refval(r4)][r3 -- (i ' ' + sks3)]), fits(r, sks0, st[r3 -- i ', refval(r4)]), validref(str, r4, ty, st), disjoint(str, r ' + r4 ', st), fits(r, sks1, st), fits(r4, sks3, st[r3 -- i ', refval(r4)]), i < st[r3 -- _length] .intval, 0 ≤ i, 0 < st[r3 -- _length] .intval, r4 = jvmref → is_reftype(ty) ⊦ sks1 = [], sks0 = sks1 + i ' ' + sks3, sks0 = [], r1 = jvmref, r = r4, r3 = jvmref, hasSharing(r, st), hasSharing(r4, st), junkref(str, r, st), ∃ sks2. ¬ (sks2 + i ' ' ⊑ sks1 → st[r -- sks2] .refval ≠ r3), ∃ sks, sks2. sks1 = sks + i ' ' + sks2 ∧ st[r -- sks] .refval = r3 ∧ (∀ sks4. sks4 + i ' ' ⊑ sks → st[r -- sks4] .refval ≠ st[r -- sks] .refval)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: fits-put-other antecedent: succedent: ¬ (∃ sks0, sks1. sks = sks0 + (sk + sks1) ∧ st[r -- sks0] .refval = r0 ∧ (∀ sks2. sks2 + sk ⊑ sks0 → st[r -- sks2] .refval ≠ r0)) ∧ sk ≠ _type ∧ sk ≠ _length → (fits(r, sks, st[r0 -- sk, val]) ↔ fits(r, sks, st)) substlist: [val, sk, r0, st, sks, r] → [refval(r4), i ', r3, st, sks0, r] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((0, 0, 5)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (refval(r4), i ', r3, st, sks0, r)]]