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Proof step 4 from proof reachset-del (previous step)

∀ b. b ∈ S → reach(a, b, n) ∧ ¬ reach<(a, b, n) ⊦ ∀ b0. b0 ∈ S -- b → reach(a, b0, n) ∧ ¬ reach<(a, b0, n)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
b0 ∈ S, ∀ b. b ∈ S → reach(a, b, n) ∧ ¬ reach<(a, b, n) ⊦ S = ∅, b0 = b, # S = 0, reach(a, b0, n) ∧ ¬ reach<(a, b0, n)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ s ≠ ∅ → # s ≠ 0], [CSIMPFORWARD : ⊦ a ∈ s → s ≠ ∅], [CSIMPSEQ : ⊦ a ∈ s -- b ↔ a ≠ b ∧ a ∈ s])]]