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Theorem currysetALT 36933
Description: Alternate proof of curryset 36929, 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 2735 . 2 {𝑥 ∣ (𝑥𝑥𝜑)} = {𝑥 ∣ (𝑥𝑥𝜑)}
21currysetlem3 36932 1 ¬ {𝑥 ∣ (𝑥𝑥𝜑)} ∈ 𝑉
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3  wi 4  wcel 2106  {cab 2712
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1792  ax-4 1806  ax-5 1908  ax-6 1965  ax-7 2005  ax-8 2108  ax-9 2116  ax-10 2139  ax-11 2155  ax-12 2175  ax-ext 2706  ax-sep 5302
This theorem depends on definitions:  df-bi 207  df-an 396  df-or 848  df-tru 1540  df-ex 1777  df-nf 1781  df-sb 2063  df-clab 2713  df-cleq 2727  df-clel 2814  df-nfc 2890  df-v 3480
This theorem is referenced by: (None)
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