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Mirrors > Home > ILE Home > Th. List > df-mi | GIF version |
Description: Define multiplication on positive integers. This is a "temporary" set used in the construction of complex numbers and is intended to be used only by the construction. (Contributed by NM, 26-Aug-1995.) |
Ref | Expression |
---|---|
df-mi | ⊢ ·N = ( ·o ↾ (N × N)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cmi 7225 | . 2 class ·N | |
2 | comu 6391 | . . 3 class ·o | |
3 | cnpi 7223 | . . . 4 class N | |
4 | 3, 3 | cxp 4607 | . . 3 class (N × N) |
5 | 2, 4 | cres 4611 | . 2 class ( ·o ↾ (N × N)) |
6 | 1, 5 | wceq 1348 | 1 wff ·N = ( ·o ↾ (N × N)) |
Colors of variables: wff set class |
This definition is referenced by: mulpiord 7268 dmmulpi 7277 |
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