Sentence examples for all the assertions of from inspiring English sources

Even then, his proposals were obviously fraudulent: huge cuts in aid to the poor, but even bigger tax cuts for the rich, with all the assertions of fiscal responsibility resting on claims that he would raise trillions of dollars by closing tax loopholes (which he refused to specify) and cutting discretionary spending (in ways he refused to specify).

Note that by construction, the function now fulfills all the assertions of Theorem 3.2.

If, moreover, the domain D is convex and (6.22) holds, then, for any ξ and η from D ( r D ( f ) ), all the assertions of Theorems 6.1 and  6.3 hold.

First of all, the assertion (ii) of the theorem has exactly the same idea as in the first part of it, the proof of the second part can be obtained similarly.

If the agglomeration principle holds, (Bp & Bq) → B(p & q), the author must both rationally believe and disbelieve the conjunction of all the assertions in his book!

Even in 2011 when another article on this topic was published [18], and for which supporting information was available, one finds a paucity of the type of data required to reconstitute any of the models on which all the assertions in the body of the article are based.

By Definition 3.3, T is left P -quasi-closed on X. (VI.4) All assumptions and all assertions of Theorem 4.2 for J ≠ P hold.

By Definition 3.3, T is left P -quasi-closed on X. (V.4) All assumptions and all assertions of Theorem 4.2 hold for J ≠ P.

It is a model of an ABox (mathcal {A}), denoted by (mathcal {I}models mathcal {A}), if it satisfies all the individual assertions of (mathcal {A}).

This, together with (3.7) and (3.9), implies that lim n → ∞ ∥ u n ∥ ∞ = 0, which is impossible as ∥ u n ∥ ∞ = 1 for all n ∈ N. The assertion of the lemma is true.

Of all the assertions made this one most requires supporting references despite its widespread acceptance, but none are given nor are they in similar criticisms by other critics, except for the repeated references to other long-term trials that showed no harmful effects.