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Theorem currysetALT 35769
Description: Alternate proof of curryset 35765, or more precisely alternate exposal of the same proof. (Contributed by BJ, 23-Sep-2023.) This proof is intuitionistically valid. (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
currysetALT ¬ {𝑥 ∣ (𝑥𝑥𝜑)} ∈ 𝑉
Distinct variable group:   𝜑,𝑥
Allowed substitution hint:   𝑉(𝑥)

Proof of Theorem currysetALT
StepHypRef Expression
1 eqid 2733 . 2 {𝑥 ∣ (𝑥𝑥𝜑)} = {𝑥 ∣ (𝑥𝑥𝜑)}
21currysetlem3 35768 1 ¬ {𝑥 ∣ (𝑥𝑥𝜑)} ∈ 𝑉
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3  wi 4  wcel 2107  {cab 2710
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1798  ax-4 1812  ax-5 1914  ax-6 1972  ax-7 2012  ax-8 2109  ax-9 2117  ax-10 2138  ax-11 2155  ax-12 2172  ax-ext 2704  ax-sep 5298
This theorem depends on definitions:  df-bi 206  df-an 398  df-or 847  df-tru 1545  df-ex 1783  df-nf 1787  df-sb 2069  df-clab 2711  df-cleq 2725  df-clel 2811  df-nfc 2886  df-v 3477
This theorem is referenced by: (None)
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