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Proof step 9 from proof contains-subex (previous step)

ty1 .jtelemtype = mkclasstype(class), contains(str0, ty, mkarraytype(ty1)), ∀ class1. contains(str0, ty, mkclasstype(class1)) → tdname+∃(str, class1) ⊦ tdname+∃(str, class)

User applied rule insert lemma

And obtained the following new goals

Proof step 6:
⊦ contains(str, ty, ty0) → contains(str, ty, ty0 .jtelemtype)
Proof step 8:
contains(str0, ty, mkarraytype(ty1)) → contains(str0, ty, mkarraytype(ty1) .jtelemtype), ty1 .jtelemtype = mkclasstype(class), contains(str0, ty, mkarraytype(ty1)), ∀ class1. contains(str0, ty, mkclasstype(class1)) → tdname+∃(str, class1) ⊦ tdname+∃(str, class)

Rule argument

[LEMMAARG : contains-array-elemtype-01, [str, ty, ty0] → [str0, ty, mkarraytype(ty1)]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str0, ty, mkarraytype(ty1))]]