Intuitionistic Logic Explorer < Previous   Next > Nearby theorems Mirrors  >  Home  >  ILE Home  >  Th. List  >  df-xadd Unicode version

 Description: Define addition over extended real numbers. (Contributed by Mario Carneiro, 20-Aug-2015.)
Assertion
Ref Expression
Distinct variable group:   ,

Detailed syntax breakdown of Definition df-xadd
StepHypRef Expression
2 vx . . 3
3 vy . . 3
4 cxr 7059 . . 3
52cv 1242 . . . . 5
6 cpnf 7057 . . . . 5
75, 6wceq 1243 . . . 4
83cv 1242 . . . . . 6
9 cmnf 7058 . . . . . 6
108, 9wceq 1243 . . . . 5
11 cc0 6889 . . . . 5
1210, 11, 6cif 3331 . . . 4
135, 9wceq 1243 . . . . 5
148, 6wceq 1243 . . . . . 6
1514, 11, 9cif 3331 . . . . 5
16 caddc 6892 . . . . . . . 8
175, 8, 16co 5512 . . . . . . 7
1810, 9, 17cif 3331 . . . . . 6
1914, 6, 18cif 3331 . . . . 5
2013, 15, 19cif 3331 . . . 4
217, 12, 20cif 3331 . . 3
222, 3, 4, 4, 21cmpt2 5514 . 2
231, 22wceq 1243 1
 Colors of variables: wff set class This definition is referenced by: (None)
 Copyright terms: Public domain W3C validator