Verbseoul.
하다 verb

증명하다 conjugation (jeungmyeonghada, to prove)

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

Grammar note (하다 verb): 하다 verbs are formed with a Sino-Korean noun + 하다 (e.g. 공부하다 = study + do). 하다 conjugates irregularly: the ㅏ in 하 contracts with the -아/-어 suffix to give 해 (not *하어). Present polite: 해요; past polite: 했어요. The formal ending is 합니다 (not *하습니다). Most noun+하다 compounds follow this pattern uniformly. See all 하다 verbs →

Conjugation table

pron. = pronunciation guide  · RR = Revised Romanization

Highlighted = where the stem changes

TenseCasual (반말)Polite (요)Formal (합니다)
Present
증명해
cheung-myuhng-hae
jeungmyeonghae
증명해요
cheung-myuhng-hae-yoh
jeungmyeonghaeyo
증명합니다
cheung-myuhng-hahm-nee-dah
jeungmyeonghamnida
Past
증명했어
cheung-myuhng-hae-ssuh
jeungmyeonghaesseo
증명했어요
cheung-myuhng-hae-ssuh-yoh
jeungmyeonghaesseoyo
증명했습니다
cheung-myuhng-hae-sseum-nee-dah
jeungmyeonghaesseumnida
Future
증명할 거야
cheung-myuhng-hahl guh-yah
jeungmyeonghal geoya
증명할 거예요
cheung-myuhng-hahl guh-yae-yoh
jeungmyeonghal geoyeyo
증명할 겁니다
cheung-myuhng-hahl guhm-nee-dah
jeungmyeonghal geomnida

Other useful forms

Honorific / Command Polite (-(으)세요)
증명하세요
cheung-myuhng-hah-sae-yoh
jeungmyeonghaseyo
Suggestion / Let's Polite (요)
증명해요
cheung-myuhng-hae-yoh
jeungmyeonghaeyo
Question Polite (요)
증명해요?
cheung-myuhng-hae-yoh-?
jeungmyeonghaeyo?
Connective "and" — (고)
증명하고
cheung-myuhng-hah-goh
jeungmyeonghago
Conditional "if" — (면)
증명하면
cheung-myuhng-hah-myuhn
jeungmyeonghamyeon
Progressive (고 있어요)
증명하고 있어요
cheung-myuhng-hah-goh ee-ssuh-yoh
jeungmyeonghago isseoyo
Want to (고 싶어요)
증명하고 싶어요
cheung-myuhng-hah-goh shee-puh-yoh
jeungmyeonghago sipeoyo
Can / Able to ((으)ㄹ 수 있어요)
증명할 수 있어요
cheung-myuhng-hahl soo ee-ssuh-yoh
jeungmyeonghal su isseoyo
Because / So (아/어서)
증명해서
cheung-myuhng-hae-suh
jeungmyeonghaeseo
Noun form — (기)
증명하기
cheung-myuhng-hah-gee
jeungmyeonghagi
Noun form — (음)
증명함
cheung-myuhng-hahm
jeungmyeongham