[sth; sb to do sth; see also: allow, permit, possible]
Repeated application of Lemma 2 enables us to write ...... [Or: enables one to write; not: “enables to write”]
Also, wherever possible, we work with integer coefficients, enabling us to obtain information about torsion.
In fact, there is a trick which enables one to reduce the time dependent case on $R^n$ to the time independent case on $R^{n+1}$.
This enables discontinuous derivations to be built.
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