Theorem nfex | index | src |

theorem nfex {x y: nat} (a: wff x y): $ F/ x a $ > $ F/ x E. y a $;
StepHypRefExpression
1 hyp h
F/ x a
2 1 nfnot
F/ x ~a
3 2 nfal
F/ x A. y ~a
4 3 nfnot
F/ x ~A. y ~a
5 4 conv ex
F/ x E. y a

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, ax_10, ax_11, ax_12)