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Proof step 32 from proof reduce-unique (previous step)
| t => t2, t => t1 ⊦ t1 = t2 |
User applied rule insert rewrite lemma
And obtained the following new goals
- Proof step 1:
⊦ t => t' ↔ (∃ C, t0, t1. context(C) ∧ t = C[t0] ∧ t0 =>top t1 ∧ t' = C[t1])
- Proof step 31:
t => t2, ∃ C, t0, t2. context(C) ∧ t = C[t0] ∧ t0 =>top t2 ∧ t1 = C[t2] ⊦ t1 = 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] → [t1, t]
add preconditions?: F
is rewrite lemma?: T
current spec?: T
rotate lemma?: F
replace all?: T
paths: ((0, 0, 1))
dummy: ()
]Additional information
[[CONCRETESIMPRULES : ()], [EXTRATERMS : (t1, t)]]