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\DOC ADD_ASSUM
\TYPE {ADD_ASSUM : term -> thm -> thm}
\SYNOPSIS
Adds an assumption to a theorem.
\KEYWORDS
rule, assumption.
\DESCRIBE
When applied to a boolean term {s} and a theorem {A |- t}, the inference
rule {ADD_ASSUM} returns the theorem {A u {{s}} |- t}.
{
A |- t
-------------- ADD_ASSUM `s`
A u {{s}} |- t
}
\noindent {ADD_ASSUM} performs straightforward set union with the new
assumption; it checks for identical assumptions, but not for alpha-equivalent
ones. The position at which the new assumption is inserted into the assumption
list should not be relied on.
\FAILURE
Fails unless the given term has type {bool}.
\EXAMPLE
{
# ADD_ASSUM `q:bool` (ASSUME `p:bool`);;
val it : thm = p, q |- p
}
\SEEALSO
ASSUME, UNDISCH.
\ENDDOC
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