Theorem ssasymd ≪ | index | src | ≫

theorem ssasymd (A B: set) (G: wff):
  $ G -> A C_ B $ >
  $ G -> B C_ A $ >
  $ G -> A == B $;

Step	Hyp	Ref	Expression
1		ssasym	A C_ B -> B C_ A -> A == B
2		hyp h1	G -> A C_ B
3		hyp h2	G -> B C_ A
4	1, 2, 3	sylc	G -> A == B

Axiom use

axs_prop_calc (ax_1, ax_2, ax_3, ax_mp), axs_pred_calc (ax_gen, ax_4)