doc-src/Tutorial/Misc/GCD.ML
author obua
Sun, 09 May 2004 23:04:36 +0200
changeset 14722 8e739a6eaf11
parent 5377 efb799c5ed3c
permissions -rw-r--r--
replaced apply-style proof for instance Multiset :: plus_ac0 by recommended Isar proof style
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
5377
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
     1
Goal "gcd(m,0) = m";
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
     2
by(resolve_tac [trans] 1);
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
     3
by(resolve_tac gcd.rules 1);
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
     4
by(Simp_tac 1);
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
     5
qed "gcd_0";
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
     6
Addsimps [gcd_0];
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
     7
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
     8
Goal "!!n. n ~= 0 ==> gcd(m,n) = gcd(n, m mod n)";
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
     9
by(resolve_tac [trans] 1);
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
    10
by(resolve_tac gcd.rules 1);
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
    11
by(Asm_simp_tac 1);
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
    12
qed "gcd_not_0";
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
    13
Addsimps [gcd_not_0];
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
    14