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Definition df-sub 9830
Description: Define subtraction. Theorem subval 9834 shows its value (and describes how this definition works), theorem subaddi 9930 relates it to addition, and theorems subcli 9918 and resubcli 9904 prove its closure laws. (Contributed by NM, 26-Nov-1994.)
Assertion
Ref Expression
df-sub
Distinct variable group:   , ,

Detailed syntax breakdown of Definition df-sub
StepHypRef Expression
1 cmin 9828 . 2
2 vx . . 3
3 vy . . 3
4 cc 9511 . . 3
53cv 1394 . . . . . 6
6 vz . . . . . . 7
76cv 1394 . . . . . 6
8 caddc 9516 . . . . . 6
95, 7, 8co 6296 . . . . 5
102cv 1394 . . . . 5
119, 10wceq 1395 . . . 4
1211, 6, 4crio 6256 . . 3
132, 3, 4, 4, 12cmpt2 6298 . 2
141, 13wceq 1395 1
Colors of variables: wff setvar class
This definition is referenced by:  subval  9834  subf  9845
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