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Theorem axfrege58b 38718
Description: If 𝑥𝜑 is affirmed, [𝑦 / 𝑥]𝜑 cannot be denied. Identical to stdpc4 2499. Justification for ax-frege58b 38719. (Contributed by RP, 28-Mar-2020.)
Assertion
Ref Expression
axfrege58b (∀𝑥𝜑 → [𝑦 / 𝑥]𝜑)

Proof of Theorem axfrege58b
StepHypRef Expression
1 stdpc4 2499 1 (∀𝑥𝜑 → [𝑦 / 𝑥]𝜑)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wal 1629  [wsb 2049
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1870  ax-4 1885  ax-5 1991  ax-6 2057  ax-7 2093  ax-12 2203  ax-13 2408
This theorem depends on definitions:  df-bi 197  df-an 383  df-ex 1853  df-sb 2050
This theorem is referenced by: (None)
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