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Theorem suctrALT4 28383
Description: The sucessor of a transitive class is transitive. Proof derived by completeusersproof.c from User's Proof in VirtualDeductionProofs.txt. The User's Proof in html format is displayed in http://www.virtualdeduction.com/suctralt3vd.html. (Contributed by Alan Sare, 11-Sep-2016.)
Assertion
Ref Expression
suctrALT4  |-  ( Tr  A  ->  Tr  suc  A
)

Proof of Theorem suctrALT4
StepHypRef Expression
1 suctr 4607 1  |-  ( Tr  A  ->  Tr  suc  A
)
Colors of variables: wff set class
Syntax hints:    -> wi 4   Tr wtr 4245   suc csuc 4526
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1552  ax-5 1563  ax-17 1623  ax-9 1661  ax-8 1682  ax-6 1736  ax-7 1741  ax-11 1753  ax-12 1939  ax-ext 2370
This theorem depends on definitions:  df-bi 178  df-or 360  df-an 361  df-tru 1325  df-ex 1548  df-nf 1551  df-sb 1656  df-clab 2376  df-cleq 2382  df-clel 2385  df-nfc 2514  df-v 2903  df-un 3270  df-in 3272  df-ss 3279  df-sn 3765  df-uni 3960  df-tr 4246  df-suc 4530
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