Theorem eqtr3g ≪ | index | src | ≫

theorem eqtr3g (G: wff) (a b c d: nat):
  $ a = c $ >
  $ b = d $ >
  $ G -> a = b $ >
  $ G -> c = d $;

Step	Hyp	Ref	Expression
1		hyp h1	a = c
2		hyp h2	b = d
3		hyp h	G -> a = b
4	2, 3	syl6eq	G -> a = d
5	1, 4	syl5eqr	G -> c = d

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)