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Proof step 6 from proof contains-intarray-03 (conclusion)

⊦ contains(`docs2store', mkarraytype(int_type), ty) ↔ ty = int_type

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ contains(str, ty, ty0) ↔ (∃ tys. contains(str, ty ' + (tys + ty0)))
Proof step 5:
⊦ (∃ tys. contains(`docs2store', mkarraytype(int_type) ' + (tys + ty))) ↔ ty = int_type

Rule argument

[crewrite-arg: contains-type-def , F , [ty0, ty, str] → [ty, mkarraytype(int_type), `docs2store'] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (ty, mkarraytype(int_type), `docs2store')]]