Theorem birexan1i ≪ | index | src | ≫

theorem birexan1i (c: wff) {x: nat} (p a b: wff x):
  $ a <-> E. x (p /\ b) $ >
  $ a /\ c <-> E. x (p /\ (b /\ c)) $;

Step	Hyp	Ref	Expression
1		hyp h	a <-> E. x (p /\ b)
2	1	a1i	c -> (a <-> E. x (p /\ b))
3	2	birexan1a	a /\ c <-> E. x (p /\ (b /\ c))

Axiom use

axs_prop_calc (ax_1, ax_2, ax_3, ax_mp), axs_pred_calc (ax_gen, ax_4, ax_5)