ts3an1 - Mathbox for Giovanni Mascellani

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Theorem ts3an1 33957

Description: A Tseitin axiom for triple logical conjunction, in deduction form. (Contributed by Giovanni Mascellani, 25-Mar-2018.)

**Assertion**
Ref	Expression
ts3an1	$/\$ $\/$ $\/$ $/\$ $/\$

**Proof of Theorem ts3an1**
Step	Hyp	Ref	Expression
1		tsan1 33948	. 2 $/\$ $\/$ $\/$ $/\$ $/\$
2		df-3an 1039	. . 3 $/\$ $/\$ $/\$ $/\$
3	2	orbi2i 541	. 2 $/\$ $\/$ $\/$ $/\$ $/\$ $/\$ $\/$ $\/$ $/\$ $/\$
4	1, 3	sylibr 224	1 $/\$ $\/$ $\/$ $/\$ $/\$

Colors of variables: wff setvar class

Syntax hints:

wn 3

wi 4 $\/$ wo 383 $/\$ wa 384 $/\$ w3a 1037

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-or 385 df-an 386 df-3an 1039

This theorem is referenced by: (None)