Theorem mpex_nfrs | index | src |

带\ex的MP规则(无关)

theorem mpex_nfrs {x: set} (A B: wff x):
  $ \nf x B $ >
  $ A \imp B $ >
  $ \ex x A $ >
  $ B $;
StepHypRefExpression
1 hyp n
\nf x B
2 hyp h1
A \imp B
3 1, 2 imp_introls_ex_nfrs
\ex x A \imp B
4 hyp h2
\ex x A
5 3, 4 ax_mp
B

Axiom use

Logic (ax_mp, ax_1, ax_2, ax_3, ax_gen, ax_4, ax_5, ax_6, ax_7, ax_12)