or32 - Intuitionistic Logic Explorer

	Intuitionistic Logic Explorer		< Previous Next > Nearby theorems
Mirrors > Home > ILE Home > Th. List > or32		Unicode version

Theorem or32 765

Description: A rearrangement of disjuncts. (Contributed by NM, 18-Oct-1995.) (Proof shortened by Andrew Salmon, 26-Jun-2011.)

**Assertion**
Ref	Expression
or32	$\/$ $\/$ $\/$ $\/$

**Proof of Theorem or32**
Step	Hyp	Ref	Expression
1		orass 762	. 2 $\/$ $\/$ $\/$ $\/$
2		or12 761	. 2 $\/$ $\/$ $\/$ $\/$
3		orcom 723	. 2 $\/$ $\/$ $\/$ $\/$
4	1, 2, 3	3bitri 205	1 $\/$ $\/$ $\/$ $\/$

Colors of variables: wff set class

Syntax hints:

wb 104 $\/$ wo 703

This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 704

This theorem depends on definitions: df-bi 116

This theorem is referenced by: xrnepnf 9735