Sentence examples for proof steps from inspiring English sources

We first present four lemmas and their proof steps in this section.

We then show the correctness of this specification by proving the corresponding probability distribution properties within the HOL theorem prover, summarizing the proof steps.

Following similar proof steps of Corollary 1 in [15], the limit lim v → + ∞ F n ( v ) can be proved to exist.

Superfluous thinking may be extremely valuable in facilitating grasp of the proof text and in enabling one to understand the idea underlying the proof steps; but it is not necessary for thinking through the proof.

Proof construction in a system like HOL proceeds semi-automatically with the user providing a fair amount of guidance as to how the proof should proceed: The user tries to find a proof while being assisted by the theorem prover which, on request, can either automatically fill in a proof segment or verify proof steps given to it.

When m>1, following the similar DMT analysis for the inter-symbol interference (ISI) channel in [31] and the proof steps in [17], the average error probability can be upper bounded by P e ≤ 2 ( m + 3 ) · ε [ exp ( − c 1 λ ¯ ρ 1 − r ~ | f | 2 ) ], (B.16).

It is my intention to lead you through that proof, step by logical step.

Proof Step 1.