Sentence examples for indeed equivalent from inspiring English sources

Are some of the, a priori different, measures indeed equivalent?

(a) Corollary 4.3 and Corollary 4.4 are indeed equivalent.

Corollary 4.1 and Corollary 4.2 are indeed equivalent.

As the inverse is also valid, the BVP (2.2) is indeed equivalent to the BVP (1.1).

An exceptional case, however, is the 2-user scenario, for which both concepts are indeed equivalent and the solution can be given in closed form.

We now show that, within a certain class of algebras, the class of Leavitt path algebras, both properties are indeed equivalent.

The scene in which this occurs is a masterpiece of desiccated Coetzeean irony, with the almost intolerable contrast between the sight of Costello "crouched over the old bag of bones with her breasts dangling" and "the swelling of her heart" that tells her that this is indeed the equivalent of Christian caritas.

Tuesday's trip to the surprise package Eintracht Frankfurt, who have stunned the league with four wins in a row, might show whether this is the beginning of the dreaded third-season downturn, a mere blip, or indeed the equivalent of last year's low-point, a 2-1 defeat at Hannover in October – after which Dortmund ran away with the title.

Let us show that definitions 2.2 and 2.3 indeed are equivalent.

If all facts were indeed logically equivalent, they would, of course, be unsuited for being causal relata.

The latter would indeed be equivalent to the provability in the sequent calculus described for R in Section 3 of φ ≻ ψ ↔ χ and the converse sequent.