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, 4, 5*  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.numbers.division.distribute_frac_through_subtract
2reference8  ⊢  
3instantiation27, 11, 6  ⊢  
  : , : , :
4reference9  ⊢  
5instantiation7, 8, 9  ⊢  
  :
6instantiation27, 16, 10  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.numbers.division.frac_cancel_complete
8instantiation27, 11, 12  ⊢  
  : , : , :
9instantiation13, 14  ⊢  
  :
10instantiation27, 20, 15  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
12instantiation27, 16, 17  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
14instantiation18, 26, 24  ⊢  
  : , :
15instantiation27, 25, 19  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
17instantiation27, 20, 21  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.exponentiation.exp_natpos_closure
19theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
20theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
21instantiation22, 23, 24  ⊢  
  : , :
22theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
23instantiation27, 25, 26  ⊢  
  : , : , :
24instantiation27, 28, 29  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
26theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
27theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
29assumption  ⊢  
*equality replacement requirements