We may thus assume from the start that ......
We now fulfil the promise made at the start of the proof by handling the case of $G=S_n$.
[with sth; by doing sth; see also: begin, commence, proceed]
We start with the observation that ......
Lemma 3 suggests that we start by considering $A_1$.
In [2], this theorem is made the starting point of Gelfand theory.
curves starting at the origin
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