src/Provers/README

induct_method.ML -- proof by cases and induction on sets and types (Isar);

                 Provers: generic theorem proving tools

This directory contains ML sources of generic theorem proving tools.
Typically, they can be applied to various logics, provided rules of a
certain form are derivable.  Some of these are documented in the
Reference Manual.

  blast.ML              generic tableau prover with proof reconstruction
  clasimp.ML		combination of classical reasoner and simplifier
  classical.ML          theorem prover for classical logics
  hypsubst.ML           tactic to substitute in the hypotheses
  ind.ML                a simple induction package
  induct_method.ML      proof by cases and induction on sets and types (Isar)
  quantifier1.ML	simplification procedures for "1 point rules"
  simp.ML               powerful but slow simplifier
  simplifier.ML         fast simplifier
  split_paired_all.ML	turn surjective pairing into split rule
  splitter.ML           performs case splits for simplifier.ML
  typedsimp.ML          basic simplifier for explicitly typed logics

directory Arith:
  abel_cancel.ML	cancel complementary terms in sums of Abelian groups
  assoc_fold.ML		fold numerals in nested products
  cancel_numerals.ML	cancel common coefficients in balanced expressions
  cancel_factor.ML	cancel common constant factor
  cancel_sums.ML	cancel common summands
  combine_numerals.ML	combine coefficients in expressions
  fast_lin_arith.ML	generic linear arithmetic package