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Theorem bj-ssbid2 32620
Description: A special case of bj-ssbequ2 32618. (Contributed by BJ, 22-Dec-2020.)
Assertion
Ref Expression
bj-ssbid2 ([𝑥/𝑥]b𝜑𝜑)

Proof of Theorem bj-ssbid2
StepHypRef Expression
1 equid 1937 . 2 𝑥 = 𝑥
2 bj-ssbequ2 32618 . 2 (𝑥 = 𝑥 → ([𝑥/𝑥]b𝜑𝜑))
31, 2ax-mp 5 1 ([𝑥/𝑥]b𝜑𝜑)
Colors of variables: wff setvar class
Syntax hints:  wi 4  [wssb 32594
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1720  ax-4 1735  ax-5 1837  ax-6 1886  ax-7 1933  ax-12 2045
This theorem depends on definitions:  df-bi 197  df-an 386  df-ex 1703  df-ssb 32595
This theorem is referenced by: (None)
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