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Definition df-sub 9589
Description: Define subtraction. Theorem subval 9593 shows its value (and describes how this definition works), theorem subaddi 9687 relates it to addition, and theorems subcli 9676 and resubcli 9663 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 9587 . 2
2 vx . . 3
3 vy . . 3
4 cc 9272 . . 3
53cv 1368 . . . . . 6
6 vz . . . . . . 7
76cv 1368 . . . . . 6
8 caddc 9277 . . . . . 6
95, 7, 8co 6086 . . . . 5
102cv 1368 . . . . 5
119, 10wceq 1369 . . . 4
1211, 6, 4crio 6046 . . 3
132, 3, 4, 4, 12cmpt2 6088 . 2
141, 13wceq 1369 1
Colors of variables: wff setvar class
This definition is referenced by:  subval  9593  subf  9604
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