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Theorem bj-sbtv 32750
Description: Version of sbt 2418 with a dv condition, which does not require ax-13 2245. (Contributed by BJ, 31-May-2019.) (Proof modification is discouraged.)
Hypothesis
Ref Expression
bj-sbtv.1 𝜑
Assertion
Ref Expression
bj-sbtv [𝑦 / 𝑥]𝜑
Distinct variable group:   𝑥,𝑦
Allowed substitution hints:   𝜑(𝑥,𝑦)

Proof of Theorem bj-sbtv
StepHypRef Expression
1 bj-stdpc4v 32738 . 2 (∀𝑥𝜑 → [𝑦 / 𝑥]𝜑)
2 bj-sbtv.1 . 2 𝜑
31, 2mpg 1723 1 [𝑦 / 𝑥]𝜑
Colors of variables: wff setvar class
Syntax hints:  [wsb 1879
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1721  ax-4 1736  ax-5 1838  ax-6 1887  ax-7 1934  ax-12 2046
This theorem depends on definitions:  df-bi 197  df-an 386  df-ex 1704  df-sb 1880
This theorem is referenced by:  bj-vjust  32770
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