logo

Show the Proof

In [1]:
import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof
Out[1]:
 step typerequirementsstatement
0instantiation1, 2,  ⊢  
  : , : , :
1reference9  ⊢  
2instantiation3, 4, 5,  ⊢  
  : , : , :
3axiom  ⊢  
 proveit.logic.equality.equals_transitivity
4instantiation9, 6  ⊢  
  : , : , :
5instantiation15, 7, 8,  ⊢  
  : , :
6instantiation9, 10  ⊢  
  : , : , :
7instantiation26, 27, 11  ⊢  
  : , : , :
8instantiation12, 13, 14  ⊢  
  : , :
9axiom  ⊢  
 proveit.logic.equality.substitution
10instantiation15, 24, 25  ⊢  
  : , :
11instantiation26, 16, 17  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_closure
13instantiation26, 27, 18  ⊢  
  : , : , :
14instantiation19, 20  ⊢  
  :
15theorem  ⊢  
 proveit.numbers.negation.neg_times_pos
16theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
17assumption  ⊢  
18instantiation26, 21, 22  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.negation.complex_closure
20instantiation23, 24, 25  ⊢  
  : , :
21theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.e_is_real_pos
23theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
24instantiation26, 27, 28  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
26theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
28assumption  ⊢