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Proof step 2 from proof path-new-irrelevant-strong (previous step)

r ∈ H ⊦ path(r ' + x, H[r2, ce]) ↔ path(r ' + x, H), r2 ∈ x, r2 ∈ H

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
r ∈ H ⊦ path(r ' + x, H[r2, ce]) ↔ path(r ' + x, H), r2 ∈ H, r2 ∈ x

Rule argument

Additional information