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Proof step 4 from proof irred-no-step-01 (previous step)

irred(t1 _ t2), t1 => t ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ irred(t) ↔ ¬ (∃ t'. t => t')
Proof step 3:
∀ t'. ¬ t1 _ t2 => t', t1 => t ⊦

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: irred-def antecedent: succedent: irred(t) ↔ ¬ (∃ t'. t => t') substlist: [t] → [t1 _ t2] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((0, 0, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (t1 _ t2)]]