MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  df-mi Structured version   Visualization version   GIF version

Definition df-mi 10288
Description: Define multiplication on positive integers. This is a "temporary" set used in the construction of complex numbers df-c 10535, and is intended to be used only by the construction. (Contributed by NM, 26-Aug-1995.) (New usage is discouraged.)
Assertion
Ref Expression
df-mi ·N = ( ·o ↾ (N × N))

Detailed syntax breakdown of Definition df-mi
StepHypRef Expression
1 cmi 10260 . 2 class ·N
2 comu 8092 . . 3 class ·o
3 cnpi 10258 . . . 4 class N
43, 3cxp 5546 . . 3 class (N × N)
52, 4cres 5550 . 2 class ( ·o ↾ (N × N))
61, 5wceq 1530 1 wff ·N = ( ·o ↾ (N × N))
Colors of variables: wff setvar class
This definition is referenced by:  mulpiord  10299  dmmulpi  10305
  Copyright terms: Public domain W3C validator