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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | \DOC ALPHA
\TYPE {ALPHA : (term -> term -> thm)}
\SYNOPSIS
Proves equality of alpha-equivalent terms.
\KEYWORDS
rule, alpha.
\DESCRIBE
When applied to a pair of terms {t1} and {t1'} which are
alpha-equivalent, {ALPHA} returns the theorem {|- t1 = t1'}.
{
------------- ALPHA "t1" "t1'"
|- t1 = t1'
}
\FAILURE
Fails unless the terms provided are alpha-equivalent.
\EXAMPLE
{
#ALPHA "!x:num. x = x" "!y:num. y = y";;
|- (!x. x = x) = (!y. y = y)
}
\COMMENTS
The system shows the type of {ALPHA} as {term -> conv}.
\SEEALSO
aconv, ALPHA_CONV, GEN_ALPHA_CONV.
\ENDDOC
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