ts3or1 - Mathbox for Giovanni Mascellani

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Theorem ts3or1 33960

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

**Assertion**
Ref	Expression
ts3or1	$\/$ $\/$ $\/$ $\/$ $\/$

**Proof of Theorem ts3or1**
Step	Hyp	Ref	Expression
1		exmidd 432	. 2 $\/$ $\/$ $\/$ $\/$ $\/$
2		df-3or 1038	. . . 4 $\/$ $\/$ $\/$ $\/$
3	2	notbii 310	. . 3 $\/$ $\/$ $\/$ $\/$
4	3	orbi2i 541	. 2 $\/$ $\/$ $\/$ $\/$ $\/$ $\/$ $\/$ $\/$ $\/$ $\/$
5	1, 4	sylibr 224	1 $\/$ $\/$ $\/$ $\/$ $\/$

Colors of variables: wff setvar class

Syntax hints:

wn 3

wi 4 $\/$ wo 383 $\/$ w3o 1036

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-3or 1038

This theorem is referenced by: (None)