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Proof step 21 from proof Sep-forall (previous step)

(aP0 ⊗_ s)(H), ∀ a, H. a ∈ s ∧ aP0(a)(H) → aP(a)(H), ∀ s0, aP0, H, aP. # s0 < # s → ((aP0 ⊗_ s0)(H) ∧ (∀ a, H. a ∈ s0 ∧ aP0(a)(H) → aP(a)(H)) → (aP ⊗_ s0)(H)) ⊦ (aP ⊗_ s)(H)

User applied rule cut formula

And closed the goal!

Rule argument

[fma-arg: s = ∅]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : Sep-emp, , , ⊦ aP ⊗_ ∅ = emp], [CSIMPSEQ : ⊦ emp(H) ↔ H = ∅])], [EXTRAFMAS : (s = ∅)]]