QUANT_INSTANTIATE_CONV : quant_param list -> conv
STRUCTURE
SYNOPSIS
Instantiate quantifiers in a term using a given list of quantifier heuristic parameters.
DESCRIPTION
This conversion tries to instantiate quantifiers. Therefore, it uses the given list of quantifier heuristic parameters. If the list is empty, it knows about the usual Boolean Connectives, quantifiers and equations. The parameter quantHeuristicsArgsLib.std_qp adds knowledge about option-types, pairs, lists, records and natural numbers. The stateful parameter quantHeuristicsArgsLib.Type_Base_qp can be used to extract information about user defined datatypes.
EXAMPLE
> QUANT_INSTANTIATE_CONV [] ``?x. ((x=7) \/ (7 = x)) /\ P x``;
val it = |- (?x. ((x=7) \/ (7 = x)) /\ P x) = P 7 : thm

> QUANT_INSTANTIATE_CONV [] ``?x. !y. (x=7) /\ P x y``;
val it = |- (?x. !y. (x=7) /\ P x y) = (!y. P 7 y) : thm


> QUANT_INSTANTIATE_CONV [] ``?x. (f(8 + 2) = f(x + 2)) /\ P(f (x + 2))``;
val it = |- (?x. (f(8 + 2) = f(x + 2)) /\ P(f (x + 2))) = P(f (8 + 2)) : thm

> QUANT_INSTANTIATE_CONV [std_qp] ``!x. IS_SOME x ==> P x``;
val it = |- (!x. IS_SOME x ==> P x) = (!x_x'. P (SOME x_x')) : thm

> QUANT_INSTANTIATE_CONV [std_qp] ``!l. (~(l = []) ==> (LENGTH l > 0))``;
val it |- (!l. (~(l = []) ==> (LENGTH l > 0))) <=>
          (!l_t l_h. LENGTH (l_h::l_t) > 0) : thm
SEEALSO
HOL  Trindemossen-1