generate subgoals using induction
Major Section: PROOF-CHECKER-COMMANDS
Examples:
induct, (induct t)
-- induct according to a heuristically-chosen scheme, creating
a new subgoal for each base and induction step
(induct (append (reverse x) y))
-- as above, but choose an induction scheme based on the term
(append (reverse x) y) rather than on the current goal
General Form:
(induct &optional term)
Induct as in the corresponding :induct hint given to the theorem
prover, creating new subgoals for the base and induction steps. If
term is t or is not supplied, then use the current goal to determine
the induction scheme; otherwise, use that term.Note: As usual, abbreviations are allowed in the term.
Note: Induct actually calls the prove command with all processes
turned off. Thus, you must be at top of the goal for an induct
instruction.