Sentence examples for proof relation from inspiring English sources

Corresponding to the semantic relation ⊧Ω there is a quasi-syntactic proof relation ⊢Ω.

Recall that the set of axioms and the proof relation of a formalized system are required to be decidable.

where δ = b b + a. Proof Relation (2.6) is simple to prove.

And yet we know (because PrfF x, y) strongly represents the proof relation) that for any numeral n, F can prove ¬PrfF n, ⌈GF⌉).

Proof Relations (5.28 - 5.30) again are a consequence of the estimates of Theorem 3.1.

Analogously to the proof of relation (14), we obtain the relation f(theta -f(0)=sum^{inftheta -f}D_{n} cosbiggl(n-frac{beta}{2}biggr)theta -sum^{infty}_{n=1}D_{n}. (19) The convergence of numerical series (sum^{infty}_{n=0}D_{n}) is proved analogously to the proof of the convergence of series (sum^{infty}_{n=sum^{infty

Rayhana said, "They asked for proof that relation is genuine, but what proof do you give them?

Proof The relation d d t ∫ − L L u d x = 0. can be shown by means of the Neumann boundary condition.

Proof The relation u ( x ) = ∫ 0 x z ( s ) d s establishes a bijection between W and the Hilbert space L 2 ( R + ).

Proof From relation (9), we have var h ( f − g ) = var h ( f ) + var h ( g ) − 2 cov h ( f, g ) = ( var h ( f ) − var h ( g ) ) 2 + 2 ( var h ( f ) var h ( g ) − cov h ( f, g ) ). Applying the inequality of Cauchy-Schwarz for integrable functions, we obtain var h ( f − g ) ≥ ( var h ( f ) − var h ( g ) ) 2, which implies the inequality of the statement.

Proof The relations (2.11 - 2.13) follow by the same method as in the proof of Lemma 2.2, and the details are omitted here.