P. 354 of Theorem List - Metamath Proof Explorer

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**Theorem List for Metamath Proof Explorer -** 35301-35400 *Has distinct variable group(s)
Type	Label	Description
Statement

Theorem	cdleme46fsvlpq 35301*	Show that is under $.\/$ when is. (Contributed by NM, 1-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $.\/$

Theorem	cdlemeg46fvcl 35302*	TODO: fix comment. (Contributed by NM, 9-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$

Theorem	cdleme4gfv 35303*	Part of proof of Lemma D in [Crawley] p. 113. TODO: Can this replace uses of cdleme32a 35237? TODO: Can this be used to help prove the or case where is an atom? TODO: Would an antecedent transformer like cdleme46f2g2 35289 help? (Contributed by NM, 8-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $./\$

Theorem	cdlemeg47b 35304*	TODO FIX COMMENT (Contributed by NM, 1-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$

Theorem	cdlemeg47rv 35305*	Value of g_s(r) when r is an atom under pq and s is any atom not under pq, using very compact hypotheses. TODO FIX COMMENT (Contributed by NM, 3-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $/\$ $.\/$

Theorem	cdlemeg47rv2 35306*	Value of g_s(r) when r is an atom under pq and s is any atom not under pq, using very compact hypotheses. TODO FIX COMMENT (Contributed by NM, 1-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $.\/$ $./\$

Theorem	cdlemeg49le 35307*	Part of proof of Lemma D in [Crawley] p. 113. (Contributed by NM, 9-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$

Theorem	cdlemeg46bOLDN 35308*	TODO FIX COMMENT (Contributed by NM, 1-Apr-2013.) (New usage is discouraged.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$

Theorem	cdlemeg46c 35309*	TODO FIX COMMENT (Contributed by NM, 1-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$

Theorem	cdlemeg46rvOLDN 35310*	Value of g_s(r) when r is an atom under pq and s is any atom not under pq, using very compact hypotheses. TODO FIX COMMENT (Contributed by NM, 3-Apr-2013.) (New usage is discouraged.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $/\$ $.\/$

Theorem	cdlemeg46rv2OLDN 35311*	Value of g_s(r) when r is an atom under pq and s is any atom not under pq, using very compact hypotheses. TODO FIX COMMENT (Contributed by NM, 3-Apr-2013.) (New usage is discouraged.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $.\/$ $./\$

Theorem	cdlemeg46fvaw 35312*	Show that is an atom not under when is an atom not under . (Contributed by NM, 1-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$

Theorem	cdlemeg46nlpq 35313*	Show that is not under $.\/$ when isn't. (Contributed by NM, 3-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $.\/$

Theorem	cdlemeg46ngfr 35314*	TODO FIX COMMENT g(f(s))=s p. 115 4th line from bottom. (Contributed by NM, 4-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$

Theorem	cdlemeg46nfgr 35315*	TODO FIX COMMENT f(g(s))=s p. 115 antepenultimate line. (Contributed by NM, 4-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$

Theorem	cdlemeg46sfg 35316*	TODO FIX COMMENT f(r) $\/$ s = f(r) $\/$ g(s) p. 116 2nd line TODO: eliminate eqcomd? (Contributed by NM, 4-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $/\$ $.\/$ $.\/$ $.\/$

Theorem	cdlemeg46fjgN 35317*	NOT NEEDED? TODO FIX COMMENT TODO eliminate eqcomd 2475? p. 116 2nd line. (Contributed by NM, 2-Apr-2013.) (New usage is discouraged.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $/\$ $.\/$ $.\/$ $.\/$

Theorem	cdlemeg46rjgN 35318*	NOT NEEDED? TODO FIX COMMENT r $\/$ g(s) = r $\/$ v₂ p. 115 last line. (Contributed by NM, 2-Apr-2013.) (New usage is discouraged.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $/\$ $.\/$ $.\/$ $.\/$

Theorem	cdlemeg46fjv 35319*	TODO FIX COMMENT f(r) $\/$ f(g(s)) = f(r) $\/$ v₂ p. 116 2nd line. (Contributed by NM, 2-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $/\$ $.\/$ $.\/$ $.\/$

Theorem	cdlemeg46fsfv 35320*	TODO FIX COMMENT f(r) $\/$ s = f(r) $\/$ v₂ p. 116 2nd line. (Contributed by NM, 2-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $/\$ $.\/$ $.\/$ $.\/$

Theorem	cdlemeg46frv 35321*	TODO FIX COMMENT (f(r) $\/$ v₂) $/\$ w = v₂ p. 116 3rd line. (Contributed by NM, 2-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$

Theorem	cdlemeg46v1v2 35322*	TODO FIX COMMENT v₁ = v₂ p. 116 3rd line. (Contributed by NM, 2-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $/\$ $.\/$

Theorem	cdlemeg46vrg 35323*	TODO FIX COMMENT v₁ r $\/$ g(s) p. 116 3rd line. (Contributed by NM, 3-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $/\$ $.\/$ $.\/$

Theorem	cdlemeg46rgv 35324*	TODO FIX COMMENT r g(s) $\/$ v₁ p. 116 3rd line. (Contributed by NM, 3-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $/\$ $.\/$ $.\/$

Theorem	cdlemeg46req 35325*	TODO FIX COMMENT r = (v₁ $\/$ g(s)) p. 116 3rd line. (Contributed by NM, 3-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$

Theorem	cdlemeg46gfv 35326*	TODO FIX COMMENT p. 115 penultimate line: g(f(r)) = (p v q) ^ (g(s) v v₁) (Contributed by NM, 4-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$

Theorem	cdlemeg46gfr 35327*	TODO FIX COMMENT p. 116 penultimate line: g(f(r)) = r. (Contributed by NM, 4-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $/\$ $.\/$

Theorem	cdlemeg46gfre 35328*	TODO FIX COMMENT p. 116 penultimate line: g(f(r)) = r. (Contributed by NM, 4-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$

Theorem	cdlemeg46gf 35329*	TODO FIX COMMENT Eliminate antecedent $.\/$ . (Contributed by NM, 4-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$

Theorem	cdlemeg46fgN 35330*	TODO FIX COMMENT p. 116 penultimate line: f(g(r)) = r. (Contributed by NM, 4-Apr-2013.) (New usage is discouraged.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$

Theorem	cdleme48d 35331*	TODO: fix comment. (Contributed by NM, 8-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $./\$

Theorem	cdleme48gfv1 35332*	TODO: fix comment. (Contributed by NM, 9-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$

Theorem	cdleme48gfv 35333*	TODO: fix comment. (Contributed by NM, 9-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$

Theorem	cdleme48fgv 35334*	TODO: fix comment. (Contributed by NM, 9-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$

Theorem	cdlemeg49lebilem 35335*	Part of proof of Lemma D in [Crawley] p. 113. TODO: fix comment. (Contributed by NM, 9-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$

Theorem	cdleme50lebi 35336*	Part of proof of Lemma D in [Crawley] p. 113. TODO: fix comment. (Contributed by NM, 9-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $.\/$ $./\$ $.\/$ $/\$ $.\/$ $.\/$ $./\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$

Theorem	cdleme50eq 35337*	Part of proof of Lemma D in [Crawley] p. 113. TODO: fix comment. (Contributed by NM, 9-Apr-2013.)
$.\/$ $./\$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $.\/$ $./\$ $.\/$ $.\/$ $./\$ $/\$