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Proof step 21 from proof pathex-addobj (previous step)

fis .keys = instfields(class), validFields(r, fis, addobj(r, class, fis, st)), newref(r, st), validref(str, r, mkclasstype(class), addobj(r, class, fis, st)), fs ' × refval(r0) ∈ fis, fs ' ∈ instfields(class), validrefs(str, r0 ' + refs0, mkclasstype(`java.lang.Object' .class), st) ⊦ r = jvmref, r + r0 + refs0 ≠ [] ∧ (r + r0 + refs0) .first = r ∧ (r + r0 + refs0) .last = (r0 ' + refs0) .last ∧ validrefs(str, r + r0 + refs0, mkclasstype(`java.lang.Object' .class), addobj((r + r0 + refs0) .first, class, fis, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 20:
fis .keys = instfields(class), validFields(r, fis, addobj(r, class, fis, st)), newref(r, st), validref(str, r, mkclasstype(class), addobj(r, class, fis, st)), fs ' × refval(r0) ∈ fis, fs ' ∈ instfields(class), validrefs(str, r0 ' + refs0, mkclasstype(`java.lang.Object' .class), st) ⊦ r = jvmref, validrefs(str, r ' + r0 ' + refs0, mkclasstype(`java.lang.Object' .class), addobj(r, class, fis, st))

Rule argument

[emptyarg]

Additional information

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