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Theorem equsb3 2102
Description: Substitution applied to an atomic wff. (Contributed by Raph Levien and FL, 4-Dec-2005.)
Assertion
Ref Expression
equsb3
Distinct variable group:   ,

Proof of Theorem equsb3
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 equsb3lem 2101 . . 3
21sbbii 1653 . 2
3 nfv 1619 . . 3  F/
43sbco2 2086 . 2
5 equsb3lem 2101 . 2
62, 4, 53bitr3i 266 1
Colors of variables: wff setvar class
Syntax hints:   wb 176  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-or 359  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649
This theorem is referenced by:  sb8eu  2222  sb8iota  4346
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