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Proof step 15 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), ∀ val. val ∈ mkjavavalues(refs) → is_referencevalue(val) ∧ validref(str, val .refval, mkclasstype(`java.lang.Object' .class), 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

User applied rule all left

And obtained the following new goals

Proof step 14:
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), refval(r) ∈ mkjavavalues(refs) → is_referencevalue(refval(r)) ∧ validref(str, refval(r) .refval, mkclasstype(`java.lang.Object' .class), 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

Rule argument

[EXRARG : pos: left 7, [extquanttermlist: (refval(r)) abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (refval(r))]]