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Theorem sbcomv 1842
Description: Version of sbcom 1846 with a distinct variable constraint between and . (Contributed by Jim Kingdon, 28-Feb-2018.)
Assertion
Ref Expression
sbcomv
Distinct variable group:   ,
Allowed substitution hints:   (,,)

Proof of Theorem sbcomv
StepHypRef Expression
1 sbco3v 1840 . 2
2 sbcocom 1841 . 2
3 sbcocom 1841 . 2
41, 2, 33bitr3i 199 1
Colors of variables: wff set class
Syntax hints:   wb 98  wsb 1642
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-io 629  ax-5 1333  ax-7 1334  ax-gen 1335  ax-ie1 1379  ax-ie2 1380  ax-8 1392  ax-10 1393  ax-11 1394  ax-i12 1395  ax-4 1397  ax-17 1416  ax-i9 1420  ax-ial 1424  ax-i5r 1425
This theorem depends on definitions:  df-bi 110  df-nf 1347  df-sb 1643
This theorem is referenced by: (None)
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