src/HOL/Integ/Lagrange.thy
author wenzelm
Mon, 03 Nov 1997 12:26:45 +0100
changeset 4092 9faf228771dc
parent 2281 e00c13a29eda
permissions -rw-r--r--
added simpset thy_data;
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
2281
e00c13a29eda Ring Theory.
nipkow
parents:
diff changeset
     1
(*  Title:      HOL/Integ/Lagrange.thy
e00c13a29eda Ring Theory.
nipkow
parents:
diff changeset
     2
    ID:         $Id$
e00c13a29eda Ring Theory.
nipkow
parents:
diff changeset
     3
    Author:     Tobias Nipkow
e00c13a29eda Ring Theory.
nipkow
parents:
diff changeset
     4
    Copyright   1996 TU Muenchen
e00c13a29eda Ring Theory.
nipkow
parents:
diff changeset
     5
e00c13a29eda Ring Theory.
nipkow
parents:
diff changeset
     6
e00c13a29eda Ring Theory.
nipkow
parents:
diff changeset
     7
This theory only contains a single thm, which is a lemma in Lagrange's proof
e00c13a29eda Ring Theory.
nipkow
parents:
diff changeset
     8
that every natural number is the sum of 4 squares.  It's sole purpose is to
e00c13a29eda Ring Theory.
nipkow
parents:
diff changeset
     9
demonstrate ordered rewriting for commutative rings.
e00c13a29eda Ring Theory.
nipkow
parents:
diff changeset
    10
e00c13a29eda Ring Theory.
nipkow
parents:
diff changeset
    11
The enterprising reader might consider proving all of Lagrange's thm.
e00c13a29eda Ring Theory.
nipkow
parents:
diff changeset
    12
*)
e00c13a29eda Ring Theory.
nipkow
parents:
diff changeset
    13
Lagrange = Ring +
e00c13a29eda Ring Theory.
nipkow
parents:
diff changeset
    14
e00c13a29eda Ring Theory.
nipkow
parents:
diff changeset
    15
constdefs sq :: 'a::times => 'a
e00c13a29eda Ring Theory.
nipkow
parents:
diff changeset
    16
         "sq x == x*x"
e00c13a29eda Ring Theory.
nipkow
parents:
diff changeset
    17
e00c13a29eda Ring Theory.
nipkow
parents:
diff changeset
    18
end