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Definition df-bigcup 33203
Description: Define the Bigcup function, which, per fvbigcup 33247, carries a set to its union. (Contributed by Scott Fenton, 11-Apr-2012.)
Assertion
Ref Expression
df-bigcup Bigcup = ((V × V) ∖ ran ((V ⊗ E ) △ (( E ∘ E ) ⊗ V)))

Detailed syntax breakdown of Definition df-bigcup
StepHypRef Expression
1 cbigcup 33179 . 2 class Bigcup
2 cvv 3500 . . . 4 class V
32, 2cxp 5552 . . 3 class (V × V)
4 cep 5463 . . . . . 6 class E
52, 4ctxp 33175 . . . . 5 class (V ⊗ E )
64, 4ccom 5558 . . . . . 6 class ( E ∘ E )
76, 2ctxp 33175 . . . . 5 class (( E ∘ E ) ⊗ V)
85, 7csymdif 4222 . . . 4 class ((V ⊗ E ) △ (( E ∘ E ) ⊗ V))
98crn 5555 . . 3 class ran ((V ⊗ E ) △ (( E ∘ E ) ⊗ V))
103, 9cdif 3937 . 2 class ((V × V) ∖ ran ((V ⊗ E ) △ (( E ∘ E ) ⊗ V)))
111, 10wceq 1530 1 wff Bigcup = ((V × V) ∖ ran ((V ⊗ E ) △ (( E ∘ E ) ⊗ V)))
Colors of variables: wff setvar class
This definition is referenced by:  relbigcup  33242  brbigcup  33243
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