NFE Home New Foundations Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  NFE Home  >  Th. List  >  sb5 Unicode version

Theorem sb5 2100
Description: Equivalence for substitution. Similar to Theorem 6.1 of [Quine] p. 40. (Contributed by NM, 18-Aug-1993.)
Assertion
Ref Expression
sb5
Distinct variable group:   ,
Allowed substitution hints:   (,)

Proof of Theorem sb5
StepHypRef Expression
1 sb6 2099 . 2
2 sb56 2098 . 2
31, 2bitr4i 243 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wb 176   wa 358  wal 1540  wex 1541  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:  2sb5  2112  dfsb7  2119  sb7f  2120  sbelx  2124  sbc2or  3054  sbc5  3070
  Copyright terms: Public domain W3C validator