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  ⊢  
  :
1theorem  ⊢  
 proveit.numbers.division.frac_one_denom
2instantiation3, 4, 5  ⊢  
  : , :
3theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_closure
4instantiation26, 7, 6  ⊢  
  : , : , :
5instantiation26, 7, 8  ⊢  
  : , : , :
6instantiation26, 17, 9  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
8instantiation10, 11, 12  ⊢  
  : , :
9instantiation26, 22, 13  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.addition.add_real_closure_bin
11instantiation14, 15, 16  ⊢  
  : , : , :
12instantiation26, 17, 18  ⊢  
  : , : , :
13instantiation26, 27, 19  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
15instantiation20, 21  ⊢  
  : , :
16assumption  ⊢  
17theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
18instantiation26, 22, 23  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
20theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
21theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
22theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
23instantiation24, 25  ⊢  
  :
24theorem  ⊢  
 proveit.numbers.negation.int_closure
25instantiation26, 27, 28  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
28theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1