Proof of strong induction in Coq
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.gitignore Initial version of strong induction principle 2016-12-04 15:13:49 -05:00
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StrongInduction.v Initial version of strong induction principle 2016-12-04 15:13:49 -05:00

Strong induction

StrongInduction.v proves the principle of strong induction over natural numbers:

Theorem strong_induction : forall P : nat -> Prop,
  (forall m : nat, (forall n : nat, n < m -> P n) -> P m) ->
  forall n : nat, P n.