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Proof step 17 from proof linearity-path (previous step)

path(H[r].nxt ' + x0 + r0 ' + x, H), path(H[r].nxt ' + x0, H), r ∈ H, ∀ r, H, y. path(r ' + x0, H) ∧ path(r ' + y, H) → x0 = y ∨ (∃ r0, x1. y = x0 + r0 ' + x1) ∨ (∃ r0, y0. x0 = y + r0 ' + y0) ⊦ r = null, ∃ r1, x1. r0 ' + x = r1 ' + x1

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

pos: right 2 terms: r0, x

Additional information

Used terms: r0, x