The phrase "applied to a demonstrative" is correct and usable in written English.
It can be used in contexts discussing grammar, linguistics, or the application of concepts to demonstrative pronouns or adjectives.
Example: "In this sentence, the adjective is applied to a demonstrative to clarify the subject."
Alternatives: "related to a demonstrative" or "pertaining to a demonstrative".
For demonstrative purpose, the proposed approach is applied to a Korean shipbuilding company.
As a demonstrative example, this revised model is applied to design a de novo protein for a target backbone for which the previous model had relied on after-design directed evolution to produce a well-folded protein.
The proposed approach is applied to examine a porous steel alloy material for demonstrative purposes.
We then illustrate the method by applying it to a demonstrative toy model of fitting a straight line to two sets of data.
Here is the acquisition argument: For example, in the case of a simple language consisting of demonstratives and taste predicates (such as "bitter" and "sweet"), applied to foodstuffs within reach of the speaker, a speaker's understanding consists in his ability to determine whether "this is bitter" is true, by putting the relevant foodstuff in his mouth and tasting it (Wright 1993).
Something like the same story applies to names and demonstratives.
The concept of a proof underlying Sophistical Refutations is similar to what is demanded of demonstrative knowledge in Posterior Analytics (I ii 71b20), viz., that the premises must be "true, primary, immediate, better known than, prior to, and causative of the conclusion," except that the first three conditions do not apply to deductions in which the premises are obtained through questioning.
This was because one needed a hypothesis of how to apply the abstract demonstrative truths to observed facts ("Introduction" §7) — how to fit the fitnesses to actions so to speak — and this hypothesis itself was not deductively secure.
Like demonstrative expressions, demonstrative concepts pick out different things on different occasions, and as Peacocke sees it the role of experience is to anchor a demonstrative concept to its referent.
