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Theorem reduction-is-topred-in-ctxt
⊦ t => t' ↔ (∃ C, t0, t1. context(C) ∧ t = C[t0] ∧ t0 =>top t1 ∧ t' = C[t1])
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
reduce-topreduce
,
reduce-unique
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 23
Proof steps: 58
Used lemmas:
S-reduce
,
K-reduce
,
S-top-reduce
,
topred-def
,
K-top-reduce
,
one-step-red-def
,
S-does-not-top-reduce
,
S-does-not-reduce
,
K-does-not-top-reduce
,
K-does-not-reduce
,
Used spec theorems:
Used simplifier rules:
context
/
ax-02
subst
/
subst-Carg
context
/
ax-01
subst
/
subst-Cfun
term
/
inj
context
/
context-O
subst
/
subst-O
subst
/
S-is-only-OS
subst
/
K-is-only-OK