Theorem ealieh ≪ | index | src | ≫

theorem ealieh (c: wff) {x: nat} (a: nat) (b: wff x):
  $ F/ x c $ >
  $ x = a -> b -> c $ >
  $ A. x b -> c $;

Step	Hyp	Ref	Expression
1		nfv	F/ x T.
2		hyp h	F/ x c
3		hyp e	x = a -> b -> c
4	3	anwr	T. /\ x = a -> b -> c
5	1, 2, 4	ealdeh	T. -> A. x b -> c
6	5	trud	A. x b -> c

Axiom use

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