Theorem aneq1da ≪ | index | src | ≫

theorem aneq1da (G a b c: wff):
  $ G /\ c -> (a <-> b) $ >
  $ G -> (a /\ c <-> b /\ c) $;

Step	Hyp	Ref	Expression
1		aneq1a	(c -> (a <-> b)) -> (a /\ c <-> b /\ c)
2		hyp h	G /\ c -> (a <-> b)
3	2	exp	G -> c -> (a <-> b)
4	1, 3	syl	G -> (a /\ c <-> b /\ c)

Axiom use

axs_prop_calc (ax_1, ax_2, ax_3, ax_mp)