we need to prove this lemma before proceeding with the main theorem.
在繼續進行主定理之前，我們需要證明這個引理。
the following lemma establishes a key relationship between the variables.
以下引理確立了變數之間的關鍵關係。
mathematicians often use this lemma as a stepping stone for larger proofs.
數學家們經常將此引理作為更大證明的跳板。
the proof of this lemma requires several intermediate steps.
證明這個引理需要幾個中間步驟。
let us consider the first lemma presented in chapter three.
讓我們考慮第三章中提出的第一個引理。
this lemma can be applied to solve various optimization problems.
這個引理可以用來解決各種優化問題。
the researchers proved an important lemma about network connectivity.
研究人員證明了一個關於網絡連通性的關鍵引理。
we will use this lemma repeatedly throughout the derivation.
我們將在整個推導過程中反覆使用這個引理。
this lemma provides the foundation for the subsequent theorem.
這個引理為後續定理提供了基礎。
the authors introduce a new lemma to simplify the argument.
作者引入了一個新的引理來簡化論證。
by applying this lemma, we can reduce the complexity significantly.
通過應用這個引理，我們可以顯著降低複雜度。
the lemma states that every continuous function achieves a maximum value.
這個引理指出每個連續函數都能達到最大值。
several lemmas are needed to complete this comprehensive proof.
需要幾個引理才能完成這個全面的證明。
we need to prove this lemma before proceeding with the main theorem.
在繼續進行主定理之前，我們需要證明這個引理。
the following lemma establishes a key relationship between the variables.
以下引理確立了變數之間的關鍵關係。
mathematicians often use this lemma as a stepping stone for larger proofs.
數學家們經常將此引理作為更大證明的跳板。
the proof of this lemma requires several intermediate steps.
證明這個引理需要幾個中間步驟。
let us consider the first lemma presented in chapter three.
讓我們考慮第三章中提出的第一個引理。
this lemma can be applied to solve various optimization problems.
這個引理可以用來解決各種優化問題。
the researchers proved an important lemma about network connectivity.
研究人員證明了一個關於網絡連通性的關鍵引理。
we will use this lemma repeatedly throughout the derivation.
我們將在整個推導過程中反覆使用這個引理。
this lemma provides the foundation for the subsequent theorem.
這個引理為後續定理提供了基礎。
the authors introduce a new lemma to simplify the argument.
作者引入了一個新的引理來簡化論證。
by applying this lemma, we can reduce the complexity significantly.
通過應用這個引理，我們可以顯著降低複雜度。
the lemma states that every continuous function achieves a maximum value.
這個引理指出每個連續函數都能達到最大值。
several lemmas are needed to complete this comprehensive proof.
需要幾個引理才能完成這個全面的證明。
探索常見搜尋詞彙