Theorem _nf_nf_same | index | src |

同变元\nf\nf(不可引用)

theorem _nf_nf_same {x: set} (A: wff x): $ \nf x \nf x A $;
StepHypRefExpression
1 _nf_ex_same
\nf x \ex x A
2 _nf_fo_same
\nf x \fo x A
3 1, 2 _nf_clos_imp
\nf x (\ex x A \imp \fo x A)
4 3 conv nf
\nf x \nf x A

Axiom use

Logic (ax_mp, ax_1, ax_2, ax_3, ax_gen, ax_4, ax_10)