orcomdd - Mathbox for Giovanni Mascellani

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Theorem orcomdd 33891

Description: Commutativity of logic disjunction, in double deduction form. (Contributed by Giovanni Mascellani, 19-Mar-2018.)

**Hypothesis**
Ref	Expression
orcomdd.1	$\/$

**Assertion**
Ref	Expression
orcomdd	$\/$

**Proof of Theorem orcomdd**
Step	Hyp	Ref	Expression
1		orcomdd.1	. 2 $\/$
2		pm1.4 401	. 2 $\/$ $\/$
3	1, 2	syl6 35	1 $\/$

Colors of variables: wff setvar class

Syntax hints:

wi 4 $\/$ wo 383

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

This theorem is referenced by: cnf2dd 33893