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Theorem axie1 2786
Description: The setvar 𝑥 is not free in 𝑥𝜑 (intuitionistic logic axiom ax-ie1). (Contributed by Jim Kingdon, 31-Dec-2017.) (New usage is discouraged.)
Ref Expression
axie1 (∃𝑥𝜑 → ∀𝑥𝑥𝜑)

Proof of Theorem axie1
StepHypRef Expression
1 hbe1 2147 1 (∃𝑥𝜑 → ∀𝑥𝑥𝜑)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wal 1535  wex 1780
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1796  ax-4 1810  ax-10 2145
This theorem depends on definitions:  df-bi 209  df-ex 1781
This theorem is referenced by: (None)
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