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, 3  ⊢  
  : , :
1theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
2instantiation4, 5, 6, 7  ⊢  
  : , :
3instantiation8, 9, 10  ⊢  
  : , :
4theorem  ⊢  
 proveit.numbers.division.div_complex_closure
5instantiation30, 16, 11  ⊢  
  : , : , :
6instantiation30, 16, 12  ⊢  
  : , : , :
7instantiation13, 14  ⊢  
  :
8theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_closure
9instantiation30, 16, 15  ⊢  
  : , : , :
10instantiation30, 16, 17  ⊢  
  : , : , :
11instantiation30, 22, 18  ⊢  
  : , : , :
12instantiation30, 22, 19  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
14theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat3
15instantiation30, 20, 21  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
17instantiation30, 22, 23  ⊢  
  : , : , :
18instantiation30, 26, 24  ⊢  
  : , : , :
19instantiation30, 26, 25  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_neg_within_real
21assumption  ⊢  
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
23instantiation30, 26, 27  ⊢  
  : , : , :
24instantiation30, 31, 28  ⊢  
  : , : , :
25instantiation30, 31, 29  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
27instantiation30, 31, 32  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4
29theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
30theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
32theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2