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Proof step 13 from proof pathex-def-simple (previous step)

validrefs(str, r ' + refs1, st[r -- _type] .type, st) ⊦ validrefs(str, r ' + refs1, mkclasstype(`java.lang.Object' .class), st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ validrefs(str, refs, ty, st) ∧ ty ≤ ty0 → validrefs(str, refs, ty0, st)
Proof step 12:
¬ (validrefs(str, r ' + refs1, st[r -- _type] .type, st) ∧ st[r -- _type] .type ≤ mkclasstype(`java.lang.Object' .class)), validrefs(str, r ' + refs1, st[r -- _type] .type, st) ⊦ validrefs(str, r ' + refs1, mkclasstype(`java.lang.Object' .class), st)

Rule argument

[crewrite-arg: validrefs-superclass , F , [str, refs, ty, st, ty0] → [str, r ' + refs1, st[r -- _type] .type, st, mkclasstype(`java.lang.Object' .class)] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str, r ' + refs1, st[r -- _type] .type, st, mkclasstype(`java.lang.Object' .class))]]