Le
and Lt
Le
and Lt
of the distribution; in the statements and proofs, we use the constants
one
, ..., four
declared in the module
Constants .
Click here to look at the source .
le5:(P:nat->Prop) (P O)-> (P one)-> (P two)-> (P three)-> (P four) -> ((n:nat)(lt four n)->(P n))-> (n:nat)(P n).is used as a first step in the proof of:
Lemma enum4:(n:nat)(lt n (S four))-> n=O\/n=one\/n=two\/n=three\/n=four.Which is done by a classical
Pattern ...; Apply
sequence.
enum4
is used in generation
to prove that every n >5 is either 3, either a power
of 2.