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Definition df-ub 32314
Description: Define the upper bound relationship functor. See brub 32392 for value. (Contributed by Scott Fenton, 3-May-2018.)
Assertion
Ref Expression
df-ub UB𝑅 = ((V × V) ∖ ((V ∖ 𝑅) ∘ E ))

Detailed syntax breakdown of Definition df-ub
StepHypRef Expression
1 cR . . 3 class 𝑅
21cub 32290 . 2 class UB𝑅
3 cvv 3349 . . . 4 class V
43, 3cxp 5247 . . 3 class (V × V)
53, 1cdif 3718 . . . 4 class (V ∖ 𝑅)
6 cep 5161 . . . . 5 class E
76ccnv 5248 . . . 4 class E
85, 7ccom 5253 . . 3 class ((V ∖ 𝑅) ∘ E )
94, 8cdif 3718 . 2 class ((V × V) ∖ ((V ∖ 𝑅) ∘ E ))
102, 9wceq 1630 1 wff UB𝑅 = ((V × V) ∖ ((V ∖ 𝑅) ∘ E ))
Colors of variables: wff setvar class
This definition is referenced by:  brub  32392
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