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Proof step 4 from proof member-reset (previous step)

pe(m, m0, m1) ∈ P ⊦ pe(m, m0, 0) ∈ resetcnt(P)

User applied rule structural induction

And obtained the following new goals

Proof step 3:
∀ m, m0, m1. pe(m, m0, m1) ∈ P0 → pe(m, m0, 0) ∈ resetcnt(P0), pe(m, m0, m1) ∈ p + P0 ⊦ pe(m, m0, 0) ∈ resetcnt(p + P0)

Rule argument

indvar:P

Additional information

[Concretesimprules((Csimpgen(partition freely generated by [], +;) Csimpnamedseq(list,partition,in-empty, ⊦ ¬ p ∈ [])))]