Girl's back impeding soldier's view from premises (9)

I believe the answer is:

syllogism

'view from premises' is the definition.
(conclusion drawn from certain views or premises)

'girl's back impeding soldier's' is the wordplay.
I cannot quite understand how this works, but
'soldier's' could be 'gis' (GI can mean a US soldier) and 'gis' is located in the answer.
This explanation may well be incorrect...

(Another definition for syllogism that I've seen is " Deductive reasoning".)

I've seen this clue in The Times.

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