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Definition df-id3oa 57
Description: The 3-variable orthoarguesian identity term.
Assertion
Ref Expression
df-id3oa (a == c ==OA b) = (((a ->1 c) ^ (b ->1 c)) v ((a' ->1 c) ^ (b' ->1 c)))
Detailed syntax breakdown of Definition df-id3oa
StepHypRef Expression
1 wva . . 3 term a
2 wvb . . 3 term b
3 wvc . . 3 term c
41, 2, 3wid3oa 27 . 2 term (a == c ==OA b)
51, 3wi1 12 . . . 4 term (a ->1 c)
62, 3wi1 12 . . . 4 term (b ->1 c)
75, 6wa 7 . . 3 term ((a ->1 c) ^ (b ->1 c))
81wn 4 . . . . 5 term a'
98, 3wi1 12 . . . 4 term (a' ->1 c)
102wn 4 . . . . 5 term b'
1110, 3wi1 12 . . . 4 term (b' ->1 c)
129, 11wa 7 . . 3 term ((a' ->1 c) ^ (b' ->1 c))
137, 12wo 6 . 2 term (((a ->1 c) ^ (b ->1 c)) v ((a' ->1 c) ^ (b' ->1 c)))
144, 13wb 1 1 wff (a == c ==OA b) = (((a ->1 c) ^ (b ->1 c)) v ((a' ->1 c) ^ (b' ->1 c)))
Colors of variables: term
This definition is referenced by:  3oa3  1025
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