NFE Home New Foundations Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  NFE Home  >  Th. List  >  sb6rf Unicode version

Theorem sb6rf 2091
Description: Reversed substitution. (Contributed by NM, 5-Aug-1993.) (Revised by Mario Carneiro, 6-Oct-2016.)
Hypothesis
Ref Expression
sb5rf.1  F/
Assertion
Ref Expression
sb6rf

Proof of Theorem sb6rf
StepHypRef Expression
1 sb5rf.1 . . 3  F/
2 sbequ1 1918 . . . . 5
32equcoms 1681 . . . 4
43com12 27 . . 3
51, 4alrimi 1765 . 2
6 sb2 2023 . . 3
71sbid2 2084 . . 3
86, 7sylib 188 . 2
95, 8impbii 180 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wb 176  wal 1540   F/wnf 1544  wsb 1648
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-6 1729  ax-7 1734  ax-11 1746  ax-12 1925
This theorem depends on definitions:  df-bi 177  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649
This theorem is referenced by:  2sb6rf  2118  eu1  2225
  Copyright terms: Public domain W3C validator