Theorem aneq2da ≪ | index | src | ≫

theorem aneq2da (G a b c: wff):
  $ G /\ a -> (b <-> c) $ >
  $ G -> (a /\ b <-> a /\ c) $;

Step	Hyp	Ref	Expression
1		aneq2a	(a -> (b <-> c)) -> (a /\ b <-> a /\ c)
2		hyp h	G /\ a -> (b <-> c)
3	2	exp	G -> a -> (b <-> c)
4	1, 3	syl	G -> (a /\ b <-> a /\ c)

Axiom use

axs_prop_calc (ax_1, ax_2, ax_3, ax_mp)