3dimlem1 - Mathbox for Norm Megill

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Theorem 3dimlem1 34744

Description: Lemma for 3dim1 34753. (Contributed by NM, 25-Jul-2012.)

**Assertion**
Ref	Expression
3dimlem1	$/\$ $.\/$ $/\$ $.\/$ $.\/$ $/\$ $/\$ $.\/$ $/\$ $.\/$ $.\/$

**Proof of Theorem 3dimlem1**
Step	Hyp	Ref	Expression
1		neeq1 2856	. . 3
2		oveq1 6657	. . . . 5 $.\/$ $.\/$
3	2	breq2d 4665	. . . 4 $.\/$ $.\/$
4	3	notbid 308	. . 3 $.\/$ $.\/$
5	2	oveq1d 6665	. . . . 5 $.\/$ $.\/$ $.\/$ $.\/$
6	5	breq2d 4665	. . . 4 $.\/$ $.\/$ $.\/$ $.\/$
7	6	notbid 308	. . 3 $.\/$ $.\/$ $.\/$ $.\/$
8	1, 4, 7	3anbi123d 1399	. 2 $/\$ $.\/$ $/\$ $.\/$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $.\/$
9	8	biimparc 504	1 $/\$ $.\/$ $/\$ $.\/$ $.\/$ $/\$ $/\$ $.\/$ $/\$ $.\/$ $.\/$

Colors of variables: wff setvar class

Syntax hints:

wn 3

wi 4 $/\$ wa 384 $/\$ w3a 1037

wceq 1483

wne 2794 class class class wbr 4653

cfv 5888 (class class class)co 6650

cple 15948

cjn 16944

catm 34550

This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 ax-9 1999 ax-10 2019 ax-11 2034 ax-12 2047 ax-13 2246 ax-ext 2602

This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-3an 1039 df-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-clab 2609 df-cleq 2615 df-clel 2618 df-nfc 2753 df-ne 2795 df-rex 2918 df-rab 2921 df-v 3202 df-dif 3577 df-un 3579 df-in 3581 df-ss 3588 df-nul 3916 df-if 4087 df-sn 4178 df-pr 4180 df-op 4184 df-uni 4437 df-br 4654 df-iota 5851 df-fv 5896 df-ov 6653

This theorem is referenced by: 3dim1 34753