I was just browsing and noticed that the published proof of bianir has has 
two redundant commutations of logical equivalence.  The shorter proof goes

1. bi2 .. ⊢ ((ψ ↔ φ) → (φ → ψ))
2. impcom .1.  ⊢ ((φ ∧ (ψ ↔ φ)) → ψ)

Regards
Roger

-- 
You received this message because you are subscribed to the Google Groups 
"Metamath" group.
To unsubscribe from this group and stop receiving emails from it, send an email 
to [email protected].
To view this discussion on the web visit 
https://groups.google.com/d/msgid/metamath/0b4dceef-78a2-4560-a879-9576192d7a95o%40googlegroups.com.

Reply via email to