Formal Proof of Higman's Lemma on Isabelle/HOL

On the other hand, given a period 0 of length P, we associate a cycle to it, as explained in the proof of Theorem 3.1, using Lemma 4.2.. Since, by the same lemma, the cycle

Since the augmented Tchebyshev transform of a lower Eulerian poset is lower Eulerian, in the case of lower Eulerian binomial posets we obtain a particularly elegant rule: to invert

This is a consequence of a more general result on interacting particle systems that shows that a stationary measure is ergodic if and only if the sigma algebra of sets invariant

We point out that in the case when the nonlocal operators from equation (1.3) are replaced by the corresponding differential operators (Laplacian and p-Laplacian) the resulting

We give a new sufficient condition in order that the curvature determines the metric: generically, if two Riemannian manifolds have the same ”surjective” (1,3)-curvature tensor

We also realize the configurations in question as formal toric schemes and compute their formal Gromov–Witten invariants using the mathematical and physical theories of the

As an application of this technique, we construct a free T -algebra functor and the underlying T -monoid functor, which are analogues of the free monoidal category functor and

In [9], it was shown that under diffusive scaling, the random set of coalescing random walk paths with one walker starting from every point on the space-time lattice Z × Z converges