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Proof step 38 from proof pathex-array (previous step)

is_referencevalue(st[r -- i ']), is_array(str, r, st), i < st[r -- _length] .intval, 0 ≤ i, 0 < st[r -- _length] .intval, st[st[r -- i '] .refval -- _type] .type ≤ st[r -- _type] .type .type, validrefs(str, st[r -- i '] .refval ' + refs0, st[st[r -- i '] .refval -- _type] .type, st) ⊦ st[r -- i '] .refval = jvmref, r = (st[r -- i '] .refval ' + refs0) .last, validrefs(str, st[r -- i '] .refval ' + refs0, st[r -- _type] .type .type, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 37:
⊦ validrefs(str, refs, ty, st) ∧ ty ≤ ty0 → validrefs(str, refs, ty0, st)

Rule argument

[crewrite-arg: validrefs-superclass , F , [str, refs, ty, st, ty0] → [str, st[r -- i '] .refval ' + refs0, st[st[r -- i '] .refval -- _type] .type, st, st[r -- _type] .type .type] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])], [EXTRATERMS : (str, st[r -- i '] .refval ' + refs0, st[st[r -- i '] .refval -- _type] .type, st, st[r -- _type] .type .type)]]