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Theorem isoeq3 5484
Description: Equality theorem for isomorphisms. (Contributed by set.mm contributors, 17-May-2004.)
Assertion
Ref Expression
isoeq3

Proof of Theorem isoeq3
Dummy variables are mutually distinct and distinct from all other variables.
StepHypRef Expression
1 breq 4641 . . . . 5
21bibi2d 309 . . . 4
322ralbidv 2656 . . 3
43anbi2d 684 . 2
5 df-iso 4796 . 2
6 df-iso 4796 . 2
74, 5, 63bitr4g 279 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wb 176   wa 358   wceq 1642  wral 2614   class class class wbr 4639  wf1o 4780  cfv 4781   wiso 4782
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-11 1746  ax-ext 2334
This theorem depends on definitions:  df-bi 177  df-an 360  df-ex 1542  df-nf 1545  df-cleq 2346  df-clel 2349  df-ral 2619  df-br 4640  df-iso 4796
This theorem is referenced by: (None)
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