Theorem _nf_abs | index | src |

\nf不出现(不可引用)

theorem _nf_abs (A: wff) {x: set}: $ \nf x A $;
StepHypRefExpression
1 imp_tran
(\ex x A \imp A) \imp (A \imp \fo x A) \imp \ex x A \imp \fo x A
2 ex_elim_abs
\ex x A \imp A
3 1, 2 ax_mp
(A \imp \fo x A) \imp \ex x A \imp \fo x A
4 fo_intro_abs
A \imp \fo x A
5 3, 4 ax_mp
\ex x A \imp \fo x A
6 5 conv nf
\nf x A

Axiom use

Logic (ax_mp, ax_1, ax_2, ax_3, ax_5)