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Theorem axfrege58b 39150
Description: If 𝑥𝜑 is affirmed, [𝑦 / 𝑥]𝜑 cannot be denied. Identical to stdpc4 2428. Justification for ax-frege58b 39151. (Contributed by RP, 28-Mar-2020.)
Assertion
Ref Expression
axfrege58b (∀𝑥𝜑 → [𝑦 / 𝑥]𝜑)

Proof of Theorem axfrege58b
StepHypRef Expression
1 stdpc4 2428 1 (∀𝑥𝜑 → [𝑦 / 𝑥]𝜑)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wal 1599  [wsb 2011
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1839  ax-4 1853  ax-5 1953  ax-6 2021  ax-7 2055  ax-12 2163  ax-13 2334
This theorem depends on definitions:  df-bi 199  df-an 387  df-ex 1824  df-sb 2012
This theorem is referenced by: (None)
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