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,  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_triple_32
2instantiation34, 6, 5  ⊢  
  : , : , :
3instantiation34, 6, 7  ⊢  
  : , : , :
4instantiation8  ⊢  
  :
5instantiation34, 10, 9  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
7instantiation34, 10, 11  ⊢  
  : , : , :
8axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
9instantiation34, 13, 12  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
11instantiation34, 13, 14  ⊢  
  : , : , :
12instantiation34, 15, 16  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
14instantiation34, 17, 18  ⊢  
  : , : , :
15instantiation20, 27, 19  ⊢  
  : , :
16assumption  ⊢  
17instantiation20, 21, 30  ⊢  
  : , :
18instantiation22, 23  ⊢  
  : , :
19instantiation25, 30, 24  ⊢  
  : , :
20theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
21instantiation25, 26, 27  ⊢  
  : , :
22theorem  ⊢  
 proveit.logic.booleans.conjunction.left_from_and
23assumption  ⊢  
24instantiation29, 28  ⊢  
  :
25theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
26instantiation29, 30  ⊢  
  :
27instantiation34, 32, 31  ⊢  
  : , : , :
28instantiation34, 32, 33  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.negation.int_closure
30instantiation34, 35, 36  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
32theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
34theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
36theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos