Theorem cbvab ≪ | index | src | ≫

theorem cbvab {x y: nat} (p: wff x) (q: wff y):
  $ x = y -> (p <-> q) $ >
  $ {x | p} == {y | q} $;

Step	Hyp	Ref	Expression
1		nfv	F/ y p
2		nfv	F/ x q
3		hyp e	x = y -> (p <-> q)
4	1, 2, 3	cbvabh	{x \| p} == {y \| q}

Axiom use

axs_prop_calc (ax_1, ax_2, ax_3, ax_mp), axs_pred_calc (ax_gen, ax_4, ax_5, ax_6, ax_7, ax_10, ax_11, ax_12), axs_set (elab)