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Theorem sbcrot5 26862
 Description: Rotate a sequence of five explicit substitutions. (Contributed by Stefan O'Rear, 11-Oct-2014.) (Revised by Mario Carneiro, 11-Dec-2016.)
Assertion
Ref Expression
sbcrot5
Distinct variable groups:   ,   ,   ,   ,   ,   ,   ,   ,   ,   ,   ,   ,
Allowed substitution hints:   (,,,,)   ()   (,,,)   (,,,)   (,,,)   (,,,)

Proof of Theorem sbcrot5
StepHypRef Expression
1 sbcrot3 26861 . 2
2 sbcrot3 26861 . . . 4
32sbcbii 3218 . . 3
43sbcbii 3218 . 2
51, 4bitri 242 1
 Colors of variables: wff set class Syntax hints:   wb 178  wsbc 3163 This theorem is referenced by:  sbcrot5OLD  26866  6rexfrabdioph  26873  7rexfrabdioph  26874 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1556  ax-5 1567  ax-17 1627  ax-9 1667  ax-8 1688  ax-6 1745  ax-7 1750  ax-11 1762  ax-12 1951  ax-ext 2419 This theorem depends on definitions:  df-bi 179  df-or 361  df-an 362  df-tru 1329  df-ex 1552  df-nf 1555  df-sb 1660  df-clab 2425  df-cleq 2431  df-clel 2434  df-nfc 2563  df-v 2960  df-sbc 3164
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