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Proof step 15 from proof precise-Sep (conclusion)

∀ a. a ∈ st → precise(adP(a, st[a])) ⊦ precise(adP ⊗_ st)

User applied rule induction

And obtained the following new goals

Proof step 14:
∀ a. a ∈ st → precise(adP(a, st[a])), ∀ st0, adP. # st0 < # st → ((∀ a. a ∈ st0 → precise(adP(a, st0[a]))) → precise(adP ⊗_ st0)) ⊦ precise(adP ⊗_ st)

Rule argument

[INDHYPARG : [STANDARDINDUCTIONTYPE : ], true, false, # st, [] → [], <]

Additional information

[[CONCRETESIMPRULES : ([CSIMPLESSPRED : <])], [EXTRATERMS : (# st)]]