Theorem eqtr4g ≪ | index | src | ≫

theorem eqtr4g (G: wff) (a b c d: nat):
  $ c = a $ >
  $ d = b $ >
  $ G -> a = b $ >
  $ G -> c = d $;

Step	Hyp	Ref	Expression
1		hyp h1	c = a
2		hyp h2	d = b
3		hyp h	G -> a = b
4	2, 3	syl6eqr	G -> a = d
5	1, 4	syl5eq	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)