Structure
Verb + (から)+ に相違ない
[い]Adjective + (から)+ に相違ない
[な]Adjective + (である(1))+ に相違ない
Noun + (である(1))+ に相違ない
(1) であるから
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Formal
About に相違ない
In a similar fashion to に違いない, に相違ない is a structure that firmly states that something is 'without a doubt (A)', or that there is 'no mistaking (A)'. It may be used to strengthen one's own opinions, or to strongly agree with the opinion of another. Although 相違 may be used by itself meaning 'to differ', or 'to have a discrepancy', 相違ない is considered as a set い-Adjective. When combined with ない, the literal meaning is just 'there is no discrepancy in (A)'.
に相違ない may be used with verbs, い-Adjectives, な-Adjectives and nouns.
に相違ない will often follow から, highlighting that there is no mistaking the 'cause' of (A).
Caution
This grammar structure is very formal, with に違いない almost always being used in its place.
Synonyms
Examples
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田中先生は一流の外科医だから、手術は成功するに相違ない。
Doctor Tanaka is a first-class surgeon, so the surgery will be successful without a doubt.
報告によると、この新しいウイルスは空気を介して広がるに相違ない。
According to the report, this new virus is, without a doubt, spreading through the air.
記者:「首相は来年減税をすると言ったから、グレーゾーンを減らそうとするに相違ない。」
Reporter: 'The prime minister said that he will reduce taxes next year, so he will without a doubt attempt to reduce the gray zone.'
検察官:「被害者の死因は鉄パイプのようなもので殴りつけられたからに相違ない。」
Public prosecutor: 'It is certain that the cause of the victim's death was a blow from something like an iron pipe.' (without a doubt)
課長:「競合他社は何か魂胆があるに相違ない。」
Section manager: 'Competitors are surely plotting something.' (without a doubt)
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