The method for composing the iota descriptor in Coq involves using the "iota" construct to define a term that satisfies a given predicate. The syntax for the iota construct is:
iota x : A, P x
Where x
is a variable of type A
, and P
is a predicate over A
. The result of this expression is a term t
such that P t
is true, and for any other term u
such that P u
is true, u
is equal to t
.
For example, if we have the predicate even : nat -> bool
that returns true if a given natural number is even, we can define the iota descriptor for the even numbers as:
iota n : nat, even n = true
This will return the smallest even number, and any other even number that satisfies the predicate will be equal to it.
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Asked: 2023-06-30 18:41:39 +0000
Seen: 9 times
Last updated: Jun 30 '23