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Proof step 36 from proof unchNorec-validrefs-pathex (previous step)

validrefs(str, r1 ' + refs0, ty, st), ∀ r. r = r1 ∨ r ∈ refs0 → unchangedNorec(r, st, st0) ⊦ path∃(str, r1, r0, st0), r0 ≠ r1 ∧ ¬ r0 ∈ refs0

User applied rule cut formula

And obtained the following new goals

Proof step 6:
r0 = r1, validrefs(str, r1 ' + refs0, ty, st), ∀ r. r = r1 ∨ r ∈ refs0 → unchangedNorec(r, st, st0) ⊦ path∃(str, r1, r0, st0), r0 ≠ r1 ∧ ¬ r0 ∈ refs0
Proof step 35:
validrefs(str, r1 ' + refs0, ty, st), ∀ r. r = r1 ∨ r ∈ refs0 → unchangedNorec(r, st, st0) ⊦ r0 = r1, path∃(str, r1, r0, st0), r0 ≠ r1 ∧ ¬ r0 ∈ refs0

Rule argument

[fma-arg: r0 = r1]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (r0 = r1)]]