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Theorem subst-SK-equal
C[S _ v3 _ v4 _ v5] = C0[K _ v _ v0], value(v3), value(v4), value(v5), value(v), value(v0), context(C0), context(C) ⊦ C[v3 _ v5 _ (v4 _ v5)] = C0[v]
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
reduce
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 9
Proof steps: 17
Used lemmas:
not-value-02
,
substap-is-not-K
,
not-value
,
subst-Carg
,
substap-is-not-S
,
subst-Cfun
,
subst-O
,
Used spec theorems:
Used simplifier rules:
value
/
val-K-ap
value
/
val-K
term
/
disj-02
value
/
val-S
term
/
disj-03
value
/
val-S-ap
context
/
ax-01
term
/
disj-01
term
/
inj
context
/
ax-02
context
/
context-O