dalemceb - Mathbox for Norm Megill

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Theorem dalemceb 35085

Description: Lemma for dath 35183. Frequently-used utility lemma. (Contributed by NM, 13-Aug-2012.)

**Hypotheses**
Ref	Expression
dalema.ph	$/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$
dalema.a

**Assertion**
Ref	Expression
dalemceb

**Proof of Theorem dalemceb**
Step	Hyp	Ref	Expression
1		dalema.ph	. 2 $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$
2		simp11r 1107	. 2 $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$
3	1, 2	sylbi 195	1

Colors of variables: wff setvar class

Syntax hints:

wn 3

wi 4

wb 184 $/\$ wa 369 $/\$ w3a 972

wceq 1381

wcel 1802 class class class wbr 4434

cfv 5575 (class class class)co 6278

cbs 14506

catm 34711

chlt 34798

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 185 df-an 371 df-3an 974

This theorem is referenced by: dalemcnes 35097 dalempnes 35098 dalemqnet 35099 dalemrot 35104 dalemcea 35107 dalem5 35114 dalem8 35117 dalem-cly 35118 dalem13 35123 dalem17 35127 dalem21 35141 dalem25 35145