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Proof step 38 from proof sharing-twopaths (previous step)

fits(r, sks0, st), fits(r, sks, st), path∃(str, st[r -- sks] .refval, st[r -- sks0] .refval, st) ⊦ sks = [], sks0 = [], st[r -- sks] .refval = jvmref, st[r -- sks0] .refval = jvmref, r = jvmref, sks = sks0, sks ⊑ sks0, hasSharing(r, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ path∃(str, r, r0, st) ↔ (∃ refs. refs ≠ [] ∧ refs .first = r ∧ refs .last = r0 ∧ validrefs(str, refs, mkclasstype(`java.lang.Object' .class), st))
Proof step 37:
fits(r, sks0, st), fits(r, sks, st), ∃ refs. refs ≠ [] ∧ refs .first = st[r -- sks] .refval ∧ refs .last = st[r -- sks0] .refval ∧ validrefs(str, refs, mkclasstype(`java.lang.Object' .class), st) ⊦ sks = [], sks0 = [], st[r -- sks] .refval = jvmref, st[r -- sks0] .refval = jvmref, r = jvmref, sks = sks0, sks ⊑ sks0, hasSharing(r, st)

Rule argument

[speclemmaarg: , path∃(str, r, r0, st) ↔ (∃ refs. refs ≠ [] ∧ refs .first = r ∧ refs .last = r0 ∧ validrefs (str, refs, mkclasstype(`java.lang.Object' .class), st)) ,[st, r0, r, str] → [st, st[r -- sks0] .refval, st[r -- sks] .refval, str] ,F ,cyclic , ,pathex-def ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, st[r -- sks0] .refval, st[r -- sks] .refval, str)]]