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Proof step 18 from proof unchanged-pathex-unchanged (previous step)

path∃(str, r, r0, st), unchanged(str, r, st, st1), ∀ r0. (path∃(str, r, r0, st) ↔ path∃(str, r, r0, st1)) ∧ (path∃(str, r, r0, st) → unchangedNorec(r0, st, st1)) ⊦ (path∃(str, r0, r1, st) ↔ path∃(str, r0, r1, st1)) ∧ (path∃(str, r0, r1, st) → unchangedNorec(r1, st, st1))

User applied rule all left

And obtained the following new goals

Proof step 17:
path∃(str, r, r0, st), unchanged(str, r, st, st1), (path∃(str, r, r1, st) ↔ path∃(str, r, r1, st1)) ∧ (path∃(str, r, r1, st) → unchangedNorec(r1, st, st1)), ∀ r0. (path∃(str, r, r0, st) ↔ path∃(str, r, r0, st1)) ∧ (path∃(str, r, r0, st) → unchangedNorec(r0, st, st1)) ⊦ (path∃(str, r0, r1, st) ↔ path∃(str, r0, r1, st1)) ∧ (path∃(str, r0, r1, st) → unchangedNorec(r1, st, st1))

Rule argument

[EXRARG : pos: left 3, [extquanttermlist: (r1)abort:F, discard:F, computed:T]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r1)]]