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Definition df-op 3674
Description: Define the type-level ordered pair. Definition from {{Rosser}}, p. 281.
Assertion
Ref Expression
df-op Phi Phi 0c
Distinct variable groups:   ,,   ,,

Detailed syntax breakdown of Definition df-op
StepHypRef Expression
1 cA . . 3
2 cB . . 3
31, 2cop 3669 . 2
4 vx . . . . . . 7
54cv 1397 . . . . . 6
6 vy . . . . . . . 8
76cv 1397 . . . . . . 7
87cphi 3670 . . . . . 6 Phi
95, 8wceq 1398 . . . . 5 Phi
109, 6, 1wrex 2104 . . . 4 Phi
1110, 4cab 1882 . . 3 Phi
12 c0c 3482 . . . . . . . 8 0c
1312csn 2803 . . . . . . 7 0c
148, 13cun 2609 . . . . . 6 Phi 0c
155, 14wceq 1398 . . . . 5 Phi 0c
1615, 6, 2wrex 2104 . . . 4 Phi 0c
1716, 4cab 1882 . . 3 Phi 0c
1811, 17cun 2609 . 2 Phi Phi 0c
193, 18wceq 1398 1 Phi Phi 0c
Colors of variables: wff set class
This definition is referenced by:  dfop2  3683  proj1op  3706  proj2op  3707  hbop  3710  eqop  3717  dfswap2  3839  elopprim  5506
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