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Next, we make the inductive assumption that (3.10) is true for.
Fix (xin K) and make the inductive assumption ({ x_{beta}=T^{beta} ( x ) :beta
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We are ready to use the inductive assumption for (3.24).
By the inductive assumption, we have (2.24).
With the inductive assumption,, that is,, that is,.
Under the inductive assumption that (3.16) holds for some.
Therefore, by the inductive assumption, we obtain (2.21).
Therefore, the inductive assumption for (3.9) can be used to (3.24), and then we have (3.26).
According to the inductive assumption for, (2.5) can be rewritten as (26).
By the inductive assumption (M) is finitely generated and has no free subsemigroup on two generators.
By the supposition of the theorem and the inductive assumption, the right-hand side of (4.13) belongs to.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com