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, 6  ⊢  
  : , : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.addition.leftward_commutation
2reference27  ⊢  
3instantiation35, 14, 7  ⊢  
  : , : , :
4instantiation35, 14, 12  ⊢  
  : , : , :
5instantiation9, 8  ⊢  
  :
6instantiation9, 10  ⊢  
  :
7instantiation11, 12, 13  ⊢  
  : , :
8instantiation35, 14, 13  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.negation.complex_closure
10instantiation35, 14, 15  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.multiplication.mult_real_closure_bin
12instantiation35, 18, 16  ⊢  
  : , : , :
13instantiation35, 18, 17  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
15instantiation35, 18, 19  ⊢  
  : , : , :
16instantiation35, 21, 34  ⊢  
  : , : , :
17instantiation35, 21, 20  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
19instantiation35, 21, 25  ⊢  
  : , : , :
20instantiation35, 22, 23  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
22instantiation24, 25, 26  ⊢  
  : , :
23assumption  ⊢  
24theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
25instantiation35, 36, 27  ⊢  
  : , : , :
26instantiation28, 29, 30  ⊢  
  : , :
27theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
28theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
29instantiation35, 31, 32  ⊢  
  : , : , :
30instantiation33, 34  ⊢  
  :
31theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
32theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
33theorem  ⊢  
 proveit.numbers.negation.int_closure
34instantiation35, 36, 37  ⊢  
  : , : , :
35theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
37theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2