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Theorem bj-ssbid1 32874
Description: A special case of bj-ssbequ1 32871. (Contributed by BJ, 22-Dec-2020.)
Assertion
Ref Expression
bj-ssbid1 (𝜑 → [𝑥/𝑥]b𝜑)

Proof of Theorem bj-ssbid1
StepHypRef Expression
1 equid 2058 . 2 𝑥 = 𝑥
2 bj-ssbequ1 32871 . 2 (𝑥 = 𝑥 → (𝜑 → [𝑥/𝑥]b𝜑))
31, 2ax-mp 5 1 (𝜑 → [𝑥/𝑥]b𝜑)
Colors of variables: wff setvar class
Syntax hints:  wi 4  [wssb 32846
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1835  ax-4 1850  ax-5 1952  ax-6 2018  ax-7 2054  ax-12 2160
This theorem depends on definitions:  df-bi 197  df-an 385  df-ex 1818  df-ssb 32847
This theorem is referenced by: (None)
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