wl-mo2tf - Mathbox for Wolf Lammen

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Theorem wl-mo2tf 33353

Description: Closed form of mo2 2479 with a distinctor avoiding distinct variable conditions. (Contributed by Wolf Lammen, 20-Sep-2020.)

**Assertion**
Ref	Expression
wl-mo2tf	$/\$

**Proof of Theorem wl-mo2tf**
Step	Hyp	Ref	Expression
1		nfnae 2318	. . 3
2		nfa1 2028	. . 3
3	1, 2	nfan 1828	. 2 $/\$
4		nfnae 2318	. . 3
5		nfnf1 2031	. . . 4
6	5	nfal 2153	. . 3
7	4, 6	nfan 1828	. 2 $/\$
8		simpl 473	. 2 $/\$
9		sp 2053	. . 3
10	9	adantl 482	. 2 $/\$
11	3, 7, 8, 10	wl-mo2df 33352	1 $/\$

Colors of variables: wff setvar class

Syntax hints:

wn 3

wi 4

wb 196 $/\$ wa 384

wal 1481

wex 1704

wnf 1708

wmo 2471

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-10 2019 ax-11 2034 ax-12 2047 ax-13 2246

This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-tru 1486 df-ex 1705 df-nf 1710 df-eu 2474 df-mo 2475

This theorem is referenced by: (None)