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.exponentiation.exp_complex_closure
2instantiation24, 9, 4  ⊢  
  : , : , :
3instantiation5, 6  ⊢  
  :
4instantiation24, 7, 8  ⊢  
  : , : , :
5theorem  ⊢  
 proveit.numbers.negation.complex_closure
6instantiation24, 9, 10  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_neg_within_real
8assumption  ⊢  
9theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
10instantiation11, 12, 13, 14  ⊢  
  : , :
11theorem  ⊢  
 proveit.numbers.division.div_real_closure
12instantiation24, 16, 15  ⊢  
  : , : , :
13instantiation24, 16, 17  ⊢  
  : , : , :
14instantiation18, 19  ⊢  
  :
15instantiation24, 21, 20  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
17instantiation24, 21, 22  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
19theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
20instantiation24, 25, 23  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
22instantiation24, 25, 26  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
24theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
25theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
26theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2