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Proof step 13 from proof unchanged-put-nosharing (previous step)

path∃(str, r, r1, st), path∃(str, r0, r1, st), ∀ refs, refs0. refs = [] ∨ refs0 = [] ∨ refs .first ≠ r ∧ refs .first ≠ r0 ∨ refs0 .first ≠ r ∧ refs0 .first ≠ r0 ∨ refs .first = refs0 .first ∨ refs .last ≠ refs0 .last ∨ refs .last = jvmref ∨ ¬ validrefs(str, refs, st[refs .first -- _type] .type, st) ∨ ¬ validrefs(str, refs0, st[refs0 .first -- _type] .type, st) ⊦ r = r0, r1 = jvmref, sk = _type, junkref(str, r0, st), unchanged(str, r0, st, st[r1 -- sk, val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ path∃(str, r, r0, st) ↔ (∃ refs. refs ≠ [] ∧ refs .first = r ∧ refs .last = r0 ∧ validrefs(str, refs, st[r -- _type] .type, st))
Proof step 12:
∃ refs. refs ≠ [] ∧ refs .first = r ∧ refs .last = r1 ∧ validrefs(str, refs, st[r -- _type] .type, st), path∃(str, r0, r1, st), ∀ refs, refs0. refs = [] ∨ refs0 = [] ∨ refs .first ≠ r ∧ refs .first ≠ r0 ∨ refs0 .first ≠ r ∧ refs0 .first ≠ r0 ∨ refs .first = refs0 .first ∨ refs .last ≠ refs0 .last ∨ refs .last = jvmref ∨ ¬ validrefs(str, refs, st[refs .first -- _type] .type, st) ∨ ¬ validrefs(str, refs0, st[refs0 .first -- _type] .type, st) ⊦ r = r0, r1 = jvmref, sk = _type, junkref(str, r0, st), unchanged(str, r0, st, st[r1 -- sk, val])

Rule argument

[speclemmaarg: , path∃(str, r, r0, st) ↔ (∃ refs. refs ≠ [] ∧ refs .first = r ∧ refs .last = r0 ∧ validrefs(str, refs, st[r -- _type] .type, st)) ,[st, r0, r, str] → [st, r1, r, str] ,F ,cyclic , ,pathex-def-simple ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r1, r, str)]]