Verbseoul.
하다 verb
증명하다jeungmyeonghadato prove

To say to prove politely in the present tense, use 증명해요 (cheung-myuhng-hae-yoh). Below is the full conjugation of 증명하다 across the three tenses and three everyday speech levels.

Conjugation table

TenseCasual (반말)Polite (요)Formal (합니다)
Present
증명해
cheung-myuhng-hae
증명해요
cheung-myuhng-hae-yoh
증명합니다
cheung-myuhng-hahm-nee-dah
Past
증명했어
cheung-myuhng-hae-ssuh
증명했어요
cheung-myuhng-hae-ssuh-yoh
증명했습니다
cheung-myuhng-hae-sseum-nee-dah
Future
증명할 거야
cheung-myuhng-hahl- -guh-yah
증명할 거예요
cheung-myuhng-hahl- -guh-yae-yoh
증명할 겁니다
cheung-myuhng-hahl- -guhm-nee-dah

Other useful forms

Command Polite (세요)
증명하세요
cheung-myuhng-hah-sae-yoh
Suggestion / Let's Polite (요)
증명해요
cheung-myuhng-hae-yoh
Question Polite (요)
증명해요?
cheung-myuhng-hae-yoh-?
Connective “and” — (고)
증명하고
cheung-myuhng-hah-goh
Conditional “if” — (면)
증명하면
cheung-myuhng-hah-myuhn
Noun form — (기)
증명함
cheung-myuhng-hahm