ThmDex – An index of mathematical definitions, results, and conjectures.
Formulation F13417 on R2621: Sum of binomial coefficients
F13417
Formulation 1
Let $n, m \in \mathbb{N}$ each be a D996: Natural number such that
(i) \begin{equation} 0 \leq m \leq n \end{equation}
Then \begin{equation} \sum_{m = 0}^n \binom{n}{m} = 2^n \end{equation}