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Proof step 7 from proof pathex-subset-equiv (previous step)

¬ (validref(str, r, st[r -- _type] .type, st) ∧ st ⊆ st0), st ⊆ st0, validrefs(str, r ' + refs0, mkclasstype(`java.lang.Object' .class), st0) ⊦ refs0 = [], junkref(str, r, st), validrefs(str, r ' + refs0, mkclasstype(`java.lang.Object' .class), st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
st ⊆ st0, validrefs(str, r ' + refs0, mkclasstype(`java.lang.Object' .class), st0) ⊦ refs0 = [], junkref(str, r, st), validrefs(str, r ' + refs0, mkclasstype(`java.lang.Object' .class), st), validref(str, r, st[r -- _type] .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]