Theorem 1elpr01 11192

Description: 1 is an element of {0, 1}. (Contributed by Umit Teoman Dogan, 10-Jun-2026.)

Assertion

Ref	Expression
1elpr01	⊢ 1 ∈ {0, 1}

Proof of Theorem 1elpr01

Step	Hyp	Ref	Expression
1		1ex 11191	. 2 ⊢ 1 ∈ V
2	1	prid2 4725	1 ⊢ 1 ∈ {0, 1}

Syntax hints:   ∈ wcel 2145  {cpr 4587  0cc0 11088  1c1 11089

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1818  ax-4 1832  ax-5 1933  ax-6 1990  ax-7 2031  ax-8 2147  ax-9 2155  ax-ext 2737  ax-1cn 11146

This theorem depends on definitions:  df-bi 210  df-an 401  df-or 861  df-tru 1566  df-ex 1803  df-sb 2094  df-clab 2744  df-cleq 2757  df-clel 2840  df-v 3459  df-un 3912  df-sn 4586  df-pr 4588

This theorem is referenced by:  constrconj  34052  grlimedgnedg  48751