> Note that an expression such as <" <" A B C "> <" D E F "> <" G H I "> "> 
> has the type (0..^N) -> ((0..^N) -> R), which would have to be converted 
> anyway to match the expected I x I -> R type used by square matrices. If we 
> take I to be (0..^N) then this is just an uncurry, but if the official 
> index set for matrices is instead (1...N) then the index remapping could be 
> performed at the same time.
>
>

The best to do is redefine the <" ...>" operator so that it takes (1 ... N) 
as its set of indices and then fix up all the proofs referring to the 
definition. 
You should have only one definition for matrices, tuples and words since 
all that is the same story. Or at most two: one with a abstract finite 
set of indices and another one  with (1... N).

-- 
FL
 

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