4atexlempw - Mathbox for Norm Megill

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Theorem 4atexlempw 35335

Description: Lemma for 4atexlem7 35361. (Contributed by NM, 23-Nov-2012.)

**Hypothesis**
Ref	Expression
4thatlem.ph	$/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $.\/$ $/\$ $/\$ $.\/$ $.\/$ $/\$ $/\$ $.\/$

**Assertion**
Ref	Expression
4atexlempw	$/\$

**Proof of Theorem 4atexlempw**
Step	Hyp	Ref	Expression
1		4thatlem.ph	. 2 $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $.\/$ $/\$ $/\$ $.\/$ $.\/$ $/\$ $/\$ $.\/$
2		simp12 1092	. 2 $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $.\/$ $/\$ $/\$ $.\/$ $.\/$ $/\$ $/\$ $.\/$ $/\$
3	1, 2	sylbi 207	1 $/\$

Colors of variables: wff setvar class

Syntax hints:

wn 3

wi 4

wb 196 $/\$ wa 384 $/\$ w3a 1037

wceq 1483

wcel 1990

wne 2794 class class class wbr 4653 (class class class)co 6650

chlt 34637

This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8

This theorem depends on definitions: df-bi 197 df-an 386 df-3an 1039

This theorem is referenced by: 4atexlemp 35336 4atexlemswapqr 35349 4atexlemu 35350 4atexlemv 35351 4atexlemunv 35352 4atexlemntlpq 35354 4atexlemnclw 35356