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Definition df-oadd 5944
Description: Define the ordinal addition operation. (Contributed by NM, 3-May-1995.)
Assertion
Ref Expression
df-oadd  +o  On ,  On  |->  rec  _V  |->  suc  ,  `
Distinct variable group:   ,,

Detailed syntax breakdown of Definition df-oadd
StepHypRef Expression
1 coa 5937 . 2  +o
2 vx . . 3  setvar
3 vy . . 3  setvar
4 con0 4066 . . 3  On
53cv 1241 . . . 4
6 vz . . . . . 6  setvar
7 cvv 2551 . . . . . 6  _V
86cv 1241 . . . . . . 7
98csuc 4068 . . . . . 6  suc
106, 7, 9cmpt 3809 . . . . 5  _V  |->  suc
112cv 1241 . . . . 5
1210, 11crdg 5896 . . . 4  rec  _V  |->  suc  ,
135, 12cfv 4845 . . 3  rec 
_V  |->  suc  ,  `
142, 3, 4, 4, 13cmpt2 5457 . 2  On ,  On  |->  rec 
_V  |->  suc  ,  `
151, 14wceq 1242 1  +o  On ,  On  |->  rec  _V  |->  suc  ,  `
Colors of variables: wff set class
This definition is referenced by:  fnoa  5966  oaexg  5967  oav  5973
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