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Proof step 30 from proof reduce-unique (previous step)

C[t3] => t2, context(C), t3 =>top t0 ⊦ C[t0] = t2

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ t => t' ↔ (∃ C, t0, t1. context(C) ∧ t = C[t0] ∧ t0 =>top t1 ∧ t' = C[t1])
Proof step 29:
∃ C0, t0, t1. context(C0) ∧ C[t3] = C0[t0] ∧ t0 =>top t1 ∧ t2 = C0[t1], context(C), t3 =>top t0 ⊦ C[t0] = t2

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: reduction-is-topred-in-ctxt antecedent: succedent: t => t' ↔ (∃ C, t0, t1. context(C) ∧ t = C[t0] ∧ t0 =>top t1 ∧ t' = C[t1]) substlist: [t', t] → [t2, C[t3]] 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 : (t2, C[t3])]]