Metamath Proof Explorer < Previous   Next > Nearby theorems Mirrors  >  Home  >  MPE Home  >  Th. List  >  df-sgm Structured version   Unicode version

Definition df-sgm 20884
 Description: Define the divisor function, which counts the number of divisors of , to the power . (Contributed by Mario Carneiro, 22-Sep-2014.)
Assertion
Ref Expression
df-sgm
Distinct variable group:   ,,,

Detailed syntax breakdown of Definition df-sgm
StepHypRef Expression
1 csgm 20878 . 2
2 vx . . 3
3 vn . . 3
4 cc 8988 . . 3
5 cn 10000 . . 3
6 vp . . . . . . 7
76cv 1651 . . . . . 6
83cv 1651 . . . . . 6
9 cdivides 12852 . . . . . 6
107, 8, 9wbr 4212 . . . . 5
1110, 6, 5crab 2709 . . . 4
12 vk . . . . . 6
1312cv 1651 . . . . 5
142cv 1651 . . . . 5
15 ccxp 20453 . . . . 5
1613, 14, 15co 6081 . . . 4
1711, 16, 12csu 12479 . . 3
182, 3, 4, 5, 17cmpt2 6083 . 2
191, 18wceq 1652 1
 Colors of variables: wff set class This definition is referenced by:  sgmval  20925  sgmf  20928
 Copyright terms: Public domain W3C validator