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Theorem bj-ssbid2 33892
Description: A special case of sbequ2 2240. (Contributed by BJ, 22-Dec-2020.)
Assertion
Ref Expression
bj-ssbid2 ([𝑥 / 𝑥]𝜑𝜑)

Proof of Theorem bj-ssbid2
StepHypRef Expression
1 equid 2010 . 2 𝑥 = 𝑥
2 sbequ2 2240 . 2 (𝑥 = 𝑥 → ([𝑥 / 𝑥]𝜑𝜑))
31, 2ax-mp 5 1 ([𝑥 / 𝑥]𝜑𝜑)
Colors of variables: wff setvar class
Syntax hints:  wi 4  [wsb 2060
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1787  ax-4 1801  ax-5 1902  ax-6 1961  ax-7 2006  ax-12 2167
This theorem depends on definitions:  df-bi 208  df-an 397  df-ex 1772  df-sb 2061
This theorem is referenced by: (None)
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