Definition df-stab 832

Description: Propositions where a double-negative can be removed are called stable. See Chapter 2 [Moschovakis] p. 2.

Our notation for stability is a connective STAB which we place before the formula in question. For example, STAB x = y corresponds to " x = y is stable".

(Contributed by David A. Wheeler, 13-Aug-2018.)

Assertion

Ref	Expression
df-stab	|- (STAB ph <-> ( -. -. ph -> ph ) )

Detailed syntax breakdown of Definition df-stab

Step	Hyp	Ref	Expression
1		wph	. . 3 wff ph
2	1	wstab 831	. 2 wff STAB ph
3	1	wn 3	. . . 4 wff -. ph
4	3	wn 3	. . 3 wff -. -. ph
5	4, 1	wi 4	. 2 wff ( -. -. ph -> ph )
6	2, 5	wb 105	1 wff (STAB ph <-> ( -. -. ph -> ph ) )

This definition is referenced by:  stbid  833  stabnot  834  dcstab  845  stdcndc  846  stdcndcOLD  847  stdcn  848  const  853  imanst  889  ddifstab  3296  exmid1stab  4242  2omotap  7342  bj-trst  15469  bj-fast  15471  bj-nnbist  15474  bj-stim  15476  bj-stan  15477  bj-stand  15478  bj-stal  15479  bj-pm2.18st  15480  bj-con1st  15481  bdstab  15557  subctctexmid  15731