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
Details
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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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これは県庁からの指示ということに相違ないか?
There is no doubt that these are instructions from the prefectural office?
これは我が社の公式の見解ということに相違ない。
There is no doubt that this is our company's official view.
わたしの意見は妻の意見ということに相違ない。
There is no doubt that my opinion is my wife's opinion.
これはゴッホの絵のコレクションに相違ない。
This is without a doubt Gogh's collection of paintings.
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