Theorem eqtrd ≪ | index | src | ≫

theorem eqtrd (G: wff) (a b c: nat):
  $ G -> a = b $ >
  $ G -> b = c $ >
  $ G -> a = c $;

Step	Hyp	Ref	Expression
1		eqtr	a = b -> b = c -> a = c
2		hyp h1	G -> a = b
3		hyp h2	G -> b = c
4	1, 2, 3	sylc	G -> a = c

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)