2. M.A. Taitslin.
A general condition for collapse results.
Annals of Pure and Applied Logic,
113(1−3): 323−330, 2001.
Lemma 4
(see [1] and [2, Theorem 2.5])
Any
P-reducible and
P-restricted structure is strong
P-reducible.
Theorem 5
Let M be a model of
T and an infinite set
I be a dense ordered without end points
indiscernible sequence in M.
Let (M,I) be a
P-reducible and
P-restricted model.
Then I is
indiscernible sequence in (M,I) and
T has the second
(M,I)-Isolation Property.
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