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On axiom systems of propositional calculi, XIV

✍ Scribed by Imai, Yasuyuki; Iséki, Kiyoshi

Book ID
127172531
Publisher
The Japan Academy
Year
1966
Weight
294 KB
Volume
42
Category
Article
ISSN
0021-4280

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We aim to show that the elements of the sequence {xn) are all the 1-assignment L e m m a 2.1. If i E { 1 , 2 , 3 , . . .} then for all j , j > i + 1, CKr-models. (i) x, is a submodel of x,, (ii) a sentence of one variable rejected by x, is also rejected by x,. Proof. (i): Direct from the definition