wa4 - Quantum Logic Explorer

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Theorem wa4 194

Description: Weak A4.

**Assertion**
Ref	Expression
wa4	((a ∪ (b ∪ b^⊥ )) ≡ (b ∪ b^⊥ )) = 1

**Proof of Theorem wa4**
Step	Hyp	Ref	Expression
1		ax-a4 33	. 2 (a ∪ (b ∪ b^⊥ )) = (b ∪ b^⊥ )
2	1	bi1 118	1 ((a ∪ (b ∪ b^⊥ )) ≡ (b ∪ b^⊥ )) = 1

Colors of variables: term

Syntax hints: = wb 1 ^⊥ wn 4 ≡ tb 5 ∪ wo 6 1wt 8

This theorem was proved from axioms: ax-a1 30 ax-a2 31 ax-a4 33 ax-a5 34 ax-r1 35 ax-r2 36 ax-r4 37 ax-r5 38

This theorem depends on definitions: df-b 39 df-a 40 df-t 41 df-f 42

This theorem is referenced by: wdid0id5 1109 wdid0id1 1110 wdid0id2 1111 wdid0id3 1112 wdid0id4 1113