3orcoma - Metamath Proof Explorer

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Theorem 3orcoma 1046

Description: Commutation law for triple disjunction. (Contributed by Mario Carneiro, 4-Sep-2016.)

**Assertion**
Ref	Expression
3orcoma	$\/$ $\/$ $\/$ $\/$

**Proof of Theorem 3orcoma**
Step	Hyp	Ref	Expression
1		or12 545	. 2 $\/$ $\/$ $\/$ $\/$
2		3orass 1040	. 2 $\/$ $\/$ $\/$ $\/$
3		3orass 1040	. 2 $\/$ $\/$ $\/$ $\/$
4	1, 2, 3	3bitr4i 292	1 $\/$ $\/$ $\/$ $\/$

Colors of variables: wff setvar class

Syntax hints:

wb 196 $\/$ 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: outpasch 25647 eliccioo 29639