Description: Part of proof of Lemma E in Crawley p. 113, 5th paragraph on p. 114, 1st line. D , F represent s_2, f(s). We prove f(s) =/= s_2. (Contributed by NM, 13-Nov-2012)
Ref | Expression | ||
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Hypotheses | cdleme19.l | |
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cdleme19.j | |
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cdleme19.m | |
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cdleme19.a | |
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cdleme19.h | |
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cdleme19.u | |
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cdleme19.f | |
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cdleme19.g | |
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cdleme19.d | |
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cdleme19.y | |
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Assertion | cdleme19c | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cdleme19.l | |
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2 | cdleme19.j | |
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3 | cdleme19.m | |
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4 | cdleme19.a | |
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5 | cdleme19.h | |
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6 | cdleme19.u | |
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7 | cdleme19.f | |
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8 | cdleme19.g | |
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9 | cdleme19.d | |
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10 | cdleme19.y | |
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11 | simp1l | |
|
12 | 11 | hllatd | |
13 | simp31 | |
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14 | simp23l | |
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15 | eqid | |
|
16 | 15 2 4 | hlatjcl | |
17 | 11 13 14 16 | syl3anc | |
18 | simp1r | |
|
19 | 15 5 | lhpbase | |
20 | 18 19 | syl | |
21 | 15 1 3 | latmle2 | |
22 | 12 17 20 21 | syl3anc | |
23 | 9 22 | eqbrtrid | |
24 | simp32 | |
|
25 | simp33 | |
|
26 | 24 25 | jca | |
27 | 1 2 3 4 5 6 7 | cdleme3 | |
28 | 26 27 | syld3an3 | |
29 | nbrne2 | |
|
30 | 23 28 29 | syl2anc | |
31 | 30 | necomd | |