demostradas

Demostradas is the feminine plural form of the past participle of demostrar in Spanish and Portuguese, used as an adjective meaning "proved" or "demonstrated." It commonly appears in mathematical, scientific, and legal texts to describe statements or results that have been established as true.

As a participle, demostradas agrees with feminine plural nouns and can function as part of compound tenses or as a descriptive adjective. The masculine plural form is demostrados in both languages; the feminine singular form is demostrada, and the masculine singular is demostrado. This inflectional behavior mirrors the standard patterns of Romance languages for participles used as adjectives.

In Spanish, demostradas is frequently found in phrases such as las proposiciones demostradas or las pruebas demostradas, indicating results that have received a formal demonstration or proof. In mathematical writing, it marks propositions, theorems, or corollaries that have been proven.

In Portuguese, demostradas appears in similar contexts, for example as as conclusões demonstradas or os resultados demonstrados, describing findings supported by demonstration or proof. The term is closely related to the noun demonstración in Spanish and demonstração in Portuguese, which refer to a demonstration or proof, and to the adjective demonstrable or demonstrável, meaning capable of being demonstrated.

See also: demostración, demonstração, demostrable, demonstrável. The word demostratable equivalents exist in some technical styles, but demostradas specifically denotes demonstrated or proven items when feminine plural nouns are involved.