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Proof step 33 from proof RED-complete (previous step)

∀ n0, t', t. n0 < n → (irred(t') ∧ (=> ^ n0)(t, t') → 〈RED(t; t0)〉 t0 = t'), n ≠ 0, irred(t'), t => t0, (=> ^ (n - 1))(t0, t') ⊦ 〈RED(t; t0)〉 t0 = t'

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 32:
∀ n0, t', t. n0 < n → (irred(t') ∧ (=> ^ n0)(t, t') → 〈RED(t; t0)〉 t0 = t'), n ≠ 0, irred(t'), t => t0, (=> ^ m)(t0, t'), n = m + 1 ⊦ 〈RED(t; t0)〉 t0 = t'

Rule argument

[x0lemmaarg: spec-name: nat instance-name: lemma-name: elim-pred-c antecedent: n ≠ 0 succedent: m = n - 1 ↔ n = m + 1 substlist: [n, m] → [n, m] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : n ≠ 0 ⊦ m = n - 1 ↔ n = m + 1])], [EXTRATERMS : (n, m)]]