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Definition df-div 9729
Description: Define division. Theorem divmuli 9819 relates it to multiplication, and divcli 9807 and redivcli 9832 prove its closure laws. (Contributed by NM, 2-Feb-1995.) (Revised by Mario Carneiro, 1-Apr-2014.) (New usage is discouraged.)
Assertion
Ref Expression
df-div
Distinct variable group:   , ,

Detailed syntax breakdown of Definition df-div
StepHypRef Expression
1 cdiv 9728 . 2
2 vx . . 3
3 vy . . 3
4 cc 9039 . . 3
5 cc0 9041 . . . . 5
65csn 3841 . . . 4
74, 6cdif 3306 . . 3
83cv 1653 . . . . . 6
9 vz . . . . . . 7
109cv 1653 . . . . . 6
11 cmul 9046 . . . . . 6
128, 10, 11co 6129 . . . . 5
132cv 1653 . . . . 5
1412, 13wceq 1654 . . . 4
1514, 9, 4crio 6592 . . 3
162, 3, 4, 7, 15cmpt2 6131 . 2
171, 16wceq 1654 1
Colors of variables: wff set class
This definition is referenced by:  1div0  9730  divval  9731  elq  10627  cnflddiv  16782  divcn  18949  1div0apr  21813
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