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Proof step 24 from proof disjoint-def-fits (previous step)

st[r0 -- sks0] = st[r -- sks], r0 ∈ refs, r ∈ refs, fits(r0, sks0, st), fits(r, sks, st), validreflist(str, mkjavavalues(refs), mkclasstype(`java.lang.Object' .class), 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, st[r -- sks] .refval = jvmref

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 23:
st[r -- sks] = refval(r1) ∧ is_referencevalue(st[r -- sks]), st[r0 -- sks0] = st[r -- sks], r0 ∈ refs, r ∈ refs, fits(r0, sks0, st), fits(r, sks, st), validreflist(str, mkjavavalues(refs), mkclasstype(`java.lang.Object' .class), 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, r1 = jvmref

Rule argument

[x0lemmaarg: spec-name: javavalue instance-name: lemma-name: elim-refval antecedent: is_referencevalue(val) succedent: r = val .refval ↔ val = refval(r) substlist: [val, r] → [st[r -- sks], r1] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_referencevalue(val) → val .refval = jvmref], [CSIMPELIM : is_referencevalue(val) ⊦ r = val .refval ↔ val = refval(r)])], [EXTRATERMS : (st[r -- sks], r1)]]