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Definition df-wexmid 17041
Description: Weak excluded middle is the principle that any negated proposition is decidable. (Contributed by Jim Kingdon, 30-Jul-2026.)
Assertion
Ref Expression
df-wexmid  |-  (WEXMID  <->  A. p  e.  ~P  1o ( -.  p  =  1o  \/  -.  -.  p  =  1o ) )

Detailed syntax breakdown of Definition df-wexmid
StepHypRef Expression
1 wwem 17040 . 2  wff WEXMID
2 vp . . . . . . 7  setvar  p
32cv 1401 . . . . . 6  class  p
4 c1o 6680 . . . . . 6  class  1o
53, 4wceq 1402 . . . . 5  wff  p  =  1o
65wn 3 . . . 4  wff  -.  p  =  1o
76wn 3 . . . 4  wff  -.  -.  p  =  1o
86, 7wo 720 . . 3  wff  ( -.  p  =  1o  \/  -.  -.  p  =  1o )
94cpw 3688 . . 3  class  ~P 1o
108, 2, 9wral 2528 . 2  wff  A. p  e.  ~P  1o ( -.  p  =  1o  \/  -.  -.  p  =  1o )
111, 10wb 105 1  wff  (WEXMID  <->  A. p  e.  ~P  1o ( -.  p  =  1o  \/  -.  -.  p  =  1o ) )
Colors of variables:    wff set class
This definition is used by:  wexmiddc  17042  wexmiddiffi  17044  wexmiddifxy  17046
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