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Proof step 13 from proof disjoint-def-fits (previous step)

st[r -- sks] = refval((r0 ' + refs0) .last), st[r0 -- sks0] = refval((r0 ' + refs0) .last), r0 ∈ refs, r ∈ refs, fits(r0, sks0, st), fits(r, sks, st), validrefs(str, r0 ' + refs0, st[r0 -- _type] .type, st), junkref(str, r, st), ∀ refs0, refs1. refs0 = [] ∨ refs1 = [] ∨ ¬ refs0 .first ∈ refs ∨ ¬ refs1 .first ∈ refs ∨ refs0 .first = refs1 .first ∨ refs0 .last ≠ refs1 .last ∨ refs0 .last = jvmref ∨ ¬ validrefs(str, refs0, st[refs0 .first -- _type] .type, st) ∨ ¬ validrefs(str, refs1, st[refs1 .first -- _type] .type, st) ⊦ r0 = r, (r0 ' + refs0) .last = jvmref, refval(r) ∈ mkjavavalues(refs)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: valuesfuns instance-name: lemma-name: javavalues-in antecedent: succedent: val ∈ mkjavavalues(refs) ↔ is_referencevalue(val) ∧ val .refval ∈ refs substlist: [refs, val] → [refs, refval(r)] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 2)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ refval(r) .refval = r])], [EXTRATERMS : (refs, refval(r))]]