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Proof step 2 from proof path-postfix (previous step)

path(x + r ' + y, H) ⊦ path(r ' + y, H)

User applied rule structural induction

And obtained the following new goals

Proof step 3:
∀ r, y, H. path(x0 + r ' + y, H) → path(r ' + y, H), path((r0 + x0) + r ' + y, H) ⊦ path(r ' + y, H)

Rule argument

indvar: x

Additional information

Used simplifier rules: reflist freely generated by [], +;;%Nil: ⊦ [] + x0 = x0; from specification list[reflist]%a: ⊦ (x0 + x1) + x2 = x0 + x1 + x2; from specification list[reflist]