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Theorem nfa1-o 34696
Description: 𝑥 is not free in 𝑥𝜑. (Contributed by Mario Carneiro, 11-Aug-2016.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
nfa1-o 𝑥𝑥𝜑

Proof of Theorem nfa1-o
StepHypRef Expression
1 hba1-o 34678 . 2 (∀𝑥𝜑 → ∀𝑥𝑥𝜑)
21nf5i 2191 1 𝑥𝑥𝜑
Colors of variables: wff setvar class
Syntax hints:  wal 1635  wnf 1863
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1877  ax-4 1894  ax-10 2186  ax-c5 34664  ax-c4 34665  ax-c7 34666
This theorem depends on definitions:  df-bi 198  df-ex 1860  df-nf 1864
This theorem is referenced by:  axc11n-16  34719  ax12eq  34722  ax12el  34723  ax12v2-o  34730
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