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Theorem wex 129

Description: There exists type.

Assertion

Ref	Expression
wex

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Proof of Theorem wex Dummy variables are mutually distinct and distinct from all other variables.

Step	Hyp	Ref	Expression
1		wal 124	. . . 4
2		wim 127	. . . . . 6
3		wal 124	. . . . . . 7
4		wv 58	. . . . . . . . . 10
5		wv 58	. . . . . . . . . 10
6	4, 5	wc 45	. . . . . . . . 9
7		wv 58	. . . . . . . . 9
8	2, 6, 7	wov 64	. . . . . . . 8
9	8	wl 59	. . . . . . 7
10	3, 9	wc 45	. . . . . 6
11	2, 10, 7	wov 64	. . . . 5
12	11	wl 59	. . . 4
13	1, 12	wc 45	. . 3
14	13	wl 59	. 2
15		df-ex 121	. 2
16	14, 15	eqtypri 71	1

Colors of variables: type var term

Syntax hints:  tv 1   ht 2  hb 3  kc 5  kl 6  kt 8  kbr 9  wffMMJ2t 12   tim 111  tal 112  tex 113

This theorem was proved from axioms:  ax-cb1 29  ax-refl 39

This theorem depends on definitions:  df-al 116  df-an 118  df-im 119  df-ex 121

This theorem is referenced by:  weu  131  exval  133  euval  134  exlimdv2  156  exlimd  171  eximdv  173  alnex  174  exnal1  175  exnal  188  ax9  199  axrep  207  axun  209

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