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Proof step 18 from proof disjoint-def-fits (previous step)

st[r -- sks] = refval((r ' + refs1) .last), st[r0 -- sks0] = refval((r ' + refs1) .last), (r0 ' + refs0) .last = (r ' + refs1) .last, r0 ∈ refs, r ∈ refs, fits(r0, sks0, st), fits(r, sks, st), validreflist(str, mkjavavalues(refs), mkclasstype(`java.lang.Object' .class), st), validrefs(str, r0 ' + refs0, st[r0 -- _type] .type, st), validrefs(str, r ' + refs1, st[r -- _type] .type, 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, (r ' + refs1) .last = jvmref

User applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 11, [extquanttermlist: (r ' + refs1, r0 ' + refs0) abort:F , discard:T , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ refs + refs0 ≠ [] ↔ refs = [] ∧ refs0 = []], [CSIMPSEQ : ⊦ r ' ≠ []], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ (r ' + refs) .first = r])], [EXTRATERMS : (r ' + refs1, r0 ' + refs0)]]