The new research raises "the tantalising proposition that complete genomes several millions of years old may recoverable given the right environmental conditions", they state.
The proof of this proposition is complete.
Therefore, the proof of the proposition is complete.
and the proof of the proposition is complete.
Now, we use the previous proposition to complete the proof.
Then, by the Lebesque dominated convergence theorem, I 3 → 0 as h → 0. Thus the proof of (ii), and therefore the proof of the proposition, is complete.
Then, by (1.1) itself, we can conclude that | u ( x, t 1 ) − u ( x, t 2 ) | ≤ C | t 1 − t 2 | α / 4. holds for any given ( x, t 1 ), ( x, t 2 ) ∈ Q T. The proof of this proposition is complete.
Another topic of controversy at the foundation of the CSC hypothesis is the proposition that complete heterogeneity of a tumor can result from a single cell [8], [9].
However, a speaker who utters such a sentence typically asserts a full proposition that completes the propositional radical that the sentence semantically expresses.
Now Bolzano can define compatibility for propositions in complete analogy with compatibility for ideas: The propositions A, B, C, D, … are all mutually compatible with respect to the variable ideas i, j, … common to all of them if there is a sequence of ideas which, substituted for the variables i, j, …, makes all these propositions true (Bolzano 1837, § 154).
