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If M is transitive, then M ′ is transitive and -transitive.
2. If M is transitive, then M ′ is transitive and -transitive.
Note also that because M is transitive, m = { m′ ∈ M | M ⊨ m′ ∈ m }.
Second, the fact that M is transitive ensures that M gets more than just membership right.
Note, here, that it's only because M is transitive that we can reliably construe the model-theoretic interpretation of Ω x) as saying anything about bijections at all.
M is nonempty because ( g x 0, T x 0 ) ∈ M. M is transitive because ≼ is so.
Similar(48)
C(G =1 iff G is transitive.
D(G =1 iff G is transitive.
Therefore, M ′ is transitive, and it is also -transitive because every transitive subset is also -transitive, whatever.
Thus, ⊑ M 2 is transitive, that is, a preorder on X 2. The converse is similar.
If X belongs to the C 1 -interior of LSP ( M ), then X is transitive Anosov.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com