[see also: means]
The tangent space to $N$ at $x$ is identified with $M$ via left translation.
Then $F$ and $G$ are homotopic via a homotopy $H$ such that ......
It is clear that $A$ is related to $B$ via (3.4).
The standard proofs proceed via the Cauchy formula.
......, from which it is an easy step, via Lemma 1, to the conclusion that ......
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