Sentence examples for easy proofs from inspiring English sources

Still, our semantics provides decision procedures for all the systems investigated, as well as easy proofs of important proof-theoretical properties of them.

Second, and as a consequence of the previous fact, we present very easy proofs of some of the self-improving properties of the generalized Poincaré inequalities studied by B. Franchi, C. Pérez and R.L. Wheeden in [9], and by P. MacManus and C. Pérez in [21].

In Section 3, alternate and easy proofs of results [[13], Lemmas 2.1, 2.10] are discussed.

But there are no known "easy" proofs of the inequality for the full range of values, the main difficulty being near small values of s, e.g., between 2 and 4 [2].

It was a kind of code switching, easy proof that in fact, Obama was down with the people.

Our study on the bounds of the spectrum of (−Δ+b) allows us to give a different and easy proof to this result.

For October 7, I will hand out Raimund Seidel, The Upper Bound Theorem for Polytopes: An Easy Proof of Its Asymptotic Version, Computational Geometry: Theory and Applications 5 115 116, 1985.

For March 2, I will hand out Raimund Seidel, The Upper Bound Theorem for Polytopes: An Easy Proof of Its Asymptotic Version, Computational Geometry: Theory and Applications 5 115-116, 1985.

For October 11, I will hand out Raimund Seidel, The Upper Bound Theorem for Polytopes: An Easy Proof of Its Asymptotic Version, Computational Geometry: Theory and Applications 5 115-116, 1985.

For March 6, I will hand out Raimund Seidel, The Upper Bound Theorem for Polytopes: An Easy Proof of Its Asymptotic Version, Computational Geometry: Theory and Applications 5 115 116, 1985.

A simpler duality argument gives an easy proof of the result [2, Theorem 3.1] that an atomic Boolean subspace lattice that has only two atoms must have the strong rank one density property.