demostrado
/deh-mohs-TRAH-doh/
proven

This gold medal symbolizes a result that has been 'proven' (demostrado).
demostrado(Adjective)
proven
?fact or result
,established
?verified truth
demonstrated
?having been shown
📝 In Action
Es un hecho demostrado que el ejercicio mejora la memoria.
B1It is a proven fact that exercise improves memory.
La eficacia del nuevo medicamento ya está demostrada.
B2The effectiveness of the new medication is already established (proven).
💡 Grammar Points
Agreement is Key
As an adjective, 'demostrado' must match the thing it describes in both gender and number: 'un resultado demostrado' (masc. sing.) vs. 'unas teorías demostradas' (fem. plural).
❌ Common Pitfalls
Using the Wrong Ending
Mistake: "La verdad está demostrado."
Correction: La verdad está demostrada. (Truth is feminine, so the ending must be -a.)

The character has 'shown' (demostrado) the apple to the viewer.
demostrado(Verb)
shown
?when used with 'haber' (e.g., 'have shown')
,proved
?when used with 'haber' (e.g., 'have proved')
📝 In Action
Hemos demostrado mucha paciencia con este proyecto.
A2We have shown a lot of patience with this project.
¿Quién había demostrado que esto era posible antes que tú?
B1Who had proved that this was possible before you?
💡 Grammar Points
Forming Perfect Tenses
When used with the verb 'haber' (to have), 'demostrado' always stays the same, regardless of who is doing the action: 'Yo he demostrado', 'Ellos han demostrado'.
The 'To Be' Switch
When used with 'ser' (to be), 'demostrado' changes its ending to match the subject, just like an adjective: 'La teoría fue demostrada'.
⭐ Usage Tips
Remember the Base Verb
Think of 'demostrado' as the frozen, unchanging core of the verb 'demostrar' when building tenses like the Present Perfect ('he demostrado').
✏️ Quick Practice
💡 Quick Quiz: demostrado
Question 1 of 2
Which sentence uses 'demostrado' as an adjective (describing a quality)?
📚 More Resources
Frequently Asked Questions
What is the difference between 'demostrado' and 'probado'?
Both mean 'proven.' 'Demostrado' often implies a logical or formal presentation of evidence (like a scientific proof or a public showing), while 'probado' can be used more generally, often meaning 'tested' or 'tried and true' (like a proven recipe).
Why does 'demostrado' sometimes change its ending and sometimes not?
It changes when it acts like an adjective (describing something, usually after 'ser' or 'estar'). It stays fixed (always ending in -o) when it combines with the verb 'haber' to form compound tenses (like 'he demostrado').