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Proof step 20 from proof RED-complete (previous step)

〈RED1(t; tn)〉 tn = some(t2), ∀ n0, t', t. n0 < m + 1 → (irred(t') ∧ (=> ^ n0)(t, t') → 〈RED(t; t0)〉 t0 = t'), irred(t'), t => t0, (=> ^ m)(t0, t'), t => t2, t0 ≠ t2 ⊦ 〈RED(t2; t1)〉 t1 = t'

User applied rule insert spec-lemma

And obtained the following new goals

Proof step 19:
⊦ t => t1 ∧ t => t2 → t1 = t2

Rule argument

[x0lemmaarg: spec-name: reduce instance-name: lemma-name: reduce-unique antecedent: succedent: t => t1 ∧ t => t2 → t1 = t2 substlist: [t, t1, t2] → [t, t2, t0] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: F replace all?: F paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (t, t2, t0)]]