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Definition df-bigcup 32478
Description: Define the Bigcup function, which, per fvbigcup 32522, 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 32454 . 2 class Bigcup
2 cvv 3385 . . . 4 class V
32, 2cxp 5310 . . 3 class (V × V)
4 cep 5224 . . . . . 6 class E
52, 4ctxp 32450 . . . . 5 class (V ⊗ E )
64, 4ccom 5316 . . . . . 6 class ( E ∘ E )
76, 2ctxp 32450 . . . . 5 class (( E ∘ E ) ⊗ V)
85, 7csymdif 4040 . . . 4 class ((V ⊗ E ) △ (( E ∘ E ) ⊗ V))
98crn 5313 . . 3 class ran ((V ⊗ E ) △ (( E ∘ E ) ⊗ V))
103, 9cdif 3766 . 2 class ((V × V) ∖ ran ((V ⊗ E ) △ (( E ∘ E ) ⊗ V)))
111, 10wceq 1653 1 wff Bigcup = ((V × V) ∖ ran ((V ⊗ E ) △ (( E ∘ E ) ⊗ V)))
Colors of variables: wff setvar class
This definition is referenced by:  relbigcup  32517  brbigcup  32518
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