orordi - Intuitionistic Logic Explorer

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Theorem orordi 690

Description: Distribution of disjunction over disjunction. (Contributed by NM, 25-Feb-1995.)

**Assertion**
Ref	Expression
orordi	$\/$ $\/$ $\/$ $\/$ $\/$

**Proof of Theorem orordi**
Step	Hyp	Ref	Expression
1		oridm 674	. . 3 $\/$
2	1	orbi1i 680	. 2 $\/$ $\/$ $\/$ $\/$ $\/$
3		or4 688	. 2 $\/$ $\/$ $\/$ $\/$ $\/$ $\/$
4	2, 3	bitr3i 175	1 $\/$ $\/$ $\/$ $\/$ $\/$

Colors of variables: wff set class

Syntax hints:

wb 98 $\/$ wo 629

This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-io 630

This theorem depends on definitions: df-bi 110

This theorem is referenced by: (None)