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prove a theorem
prove 是 theorem 最常见的搭配动词之一。
She proved the theorem using induction.
她用归纳法证明了这一定理。
定理
theorems — plural of theorem
先理解核心含义，再看它在真实句子里的用法。
定理
A mathematical or logical statement that has been proven to be true, or that can be deduced from axioms or postulates.
She proved the theorem using induction.
她用归纳法证明了这一定理。
数学中已被证明为真的重要陈述。次要定理常称为命题；自身不很有趣但构成更大定理证明必要部分的定理称为引理。
A mathematical statement of some importance that has been proven to be true. Minor theorems are often called propositions. Theorems which are not very interesting in themselves but are an essential part of a bigger theorem's proof are called lemmas.
可由基本公设推出的命题
a proposition deducible from basic postulates
演绎系统中可从给定公理推导出的语法正确的表达式。
A syntactically correct expression that is deducible from the given axioms of a deductive system.
被接受为可证明真理的观点
an idea accepted as a demonstrable truth
A theorem must be proved before it can be used in other calculations.
定理必须先得到证明，然后才能用于其他计算。
She spent the whole evening reviewing the theorem from her textbook.
她花了整个晚上复习课本上的那条定理。
Mathematicians have accepted this theorem because the proof is clear.
由于证明清晰，数学家们已经接受了这条定理。
prove 是 theorem 最常见的搭配动词之一。
She proved the theorem using induction.
她用归纳法证明了这一定理。
theorem 作主语时，常用 state 搭配 that 从句说明定理内容。
The theorem states that the angles of a triangle sum to 180 degrees.
该定理指出，三角形内角和为180度。
表示“某学科中的定理”时，介词用 in。
This is a fundamental theorem in geometry.
这是几何学中的一个基本定理。
Not this
Theorem is a statement that can be proved.
Use this
A theorem is a statement that can be proved.
英语可数名词单数不能单独使用，表示泛指或下定义时要加不定冠词 a/an；汉语没有冠词，所以容易漏掉。
Not this
There are many theorem in this chapter.
Use this
There are many theorems in this chapter.
theorem 是可数名词，many 后面要用复数形式 theorems；汉语名词没有复数变化，所以容易漏加 -s。
Not this
He proofed the theorem.
Use this
He proved the theorem.
表示“证明一个定理”要用动词 prove，过去式是 proved；proof 是名词，不能直接当动词用。受汉语“证明”兼作名词和动词的影响，学习者容易误用 proof。
Focus on the distinctions below. Other candidates are kept compact until a reliable usage note is available.
证明定理
The student proved the theorem using induction.
这个学生用归纳法证明了这一定理。
陈述定理
Please state the theorem clearly before applying it.
请先清楚地陈述定理，然后再加以应用。
应用定理
You can apply this theorem only under certain conditions.
只有在特定条件下才能应用这个定理。
勾股定理
We used the Pythagorean theorem to find the length of the hypotenuse.
我们用勾股定理求出斜边的长度。
基本定理
The fundamental theorem of calculus connects differentiation and integration.
微积分基本定理将微分与积分联系起来。
数学定理
Every mathematical theorem depends on axioms.
每一条数学定理都依赖于公理。
费马大定理
Fermat's Last Theorem was finally proved by Andrew Wiles in the 1990s.
费马大定理最终在20世纪90年代由安德鲁·怀尔斯证明。
Use theorems naturally, then get feedback on meaning, tone, grammar, and phrasing.
Revisit a common error or keep this word in your review list.
把 theorem 拆成 the + rem：开头 the 像‘这个’，orem 像‘证明后的结论’；这个已被证明的真命题，就是定理。
语域：formal 常见场景：mathematics、logic、academic writing 该词通常用于数学、逻辑等正式学术语境，日常口语中较少使用。
可数名词；常用于数学语境。
Dictionary facts from ECDICT, WIKTIONARY.