PTREE_IS_PTREE_CONV

patriciaLib.PTREE_IS_PTREE_CONV : conv

Conversion for evaluating applications of patricia$IS_PTREE.

The conversion PTREE_IS_PTREE_CONV evaluates terms of the form IS_PTREE t where t is any tree constructed by patricia$Empty, patricia$Leaf and patricia$Branch. Well-formed trees correspond with those that can be constructed by patricia$ADD.

Failure

The conversion will fail if the supplied term is not a suitable application of patricia$IS_PTREE.

Example

> patriciaLib.PTREE_IS_PTREE_CONV ``IS_PTREE Empty``;
val it = ⊢ IS_PTREE <{}> ⇔ T: thm

> patriciaLib.PTREE_IS_PTREE_CONV ``IS_PTREE (Branch 0 0 (Leaf 3 2) (Leaf 2 1))``;
val it = ⊢ IS_PTREE (Branch 0 0 (Leaf 3 2) (Leaf 2 1)) ⇔ T: thm

> patriciaLib.PTREE_IS_PTREE_CONV ``IS_PTREE (Branch 0 0 (Leaf 3 2) (Leaf 1 1))``;
val it = ⊢ IS_PTREE (Branch 0 0 (Leaf 3 2) (Leaf 1 1)) ⇔ F: thm

See also

patriciaLib.PTREE_CONV