Structure
Most common pattern:
想像 + (する)+ に難くない
Less common patterns:
予想 + (する)+ に難くない
察する + に難くない
理解 + (する)+ に難くない
推測 + (する)+ に難くない
Details
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Formal
About に難くない
にかたくない is a formal grammar pattern that uses a different version of the い-Adjective 難しい 'difficult', 難い, which has the same meaning. This adjective will be used in the negative, in order to indicate that something is 'not difficult'. The case-marking particle に at the beginning is limited to following verbs that indicate thinking or conjecture.
This structure will only appear with quite a limited number of verbs, with 想像 'to imagine', 予想 'to predict', 察する 'to infer' or 'to sense', 理解 'to understand', and 推測 'to guess' making up the majority of them.
Fun Fact
Many words have alternative forms that will be described as (A) の改まった表現 'the reformed version of (A)' in Japanese dictionaries. Although the standard meaning of the る-Verb 改まる is 'to redo', it can also often be 'to reform' in the sense of making something ceremonious or formal. (A) will usually be the far more common or everyday version of a word, such as with 難しい in the case of this grammar point.
Examples
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ピラミッドが、古代人に畏敬の念を抱かせたであろうことは、想像に難くない。
It is not hard to imagine the awe that the pyramids likely inspired in the ancients.
飛行機が墜落すれば乗客に何が起こるかは察するに難くない。
It is not hard to guess what happens to passengers when an airplane crashes.
その日の悲惨な出来事が、大いに影響していただろうことは想像に難くない。
It is not hard to imagine that the tragic events of that day likely affected her greatly.
暴力に満ちているこのゲームが90年代に論争を巻き起こした理由は理解に難くない。
It is not hard to understand the reason why this game that is filled with violence caused controversy in the '90s.
バスの運転手がいかに大きな責任を背負っているか、想像に難くない。
It is not hard to imagine how much responsibility a bus driver shoulders.
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