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, 7, 8, 9  ⊢  
  : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.addition.disassociation
2reference26  ⊢  
3reference31  ⊢  
4axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
5instantiation10  ⊢  
  : , :
6theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7instantiation29, 19, 11  ⊢  
  : , : , :
8instantiation29, 19, 12  ⊢  
  : , : , :
9instantiation13, 14  ⊢  
  :
10theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11instantiation29, 24, 15  ⊢  
  : , : , :
12instantiation16, 17, 18  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.negation.complex_closure
14instantiation29, 19, 20  ⊢  
  : , : , :
15instantiation29, 27, 21  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
17instantiation22, 23  ⊢  
  : , :
18axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
19theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
20instantiation29, 24, 25  ⊢  
  : , : , :
21instantiation29, 30, 26  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
23theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
25instantiation29, 27, 28  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
27theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
28instantiation29, 30, 31  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
31theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2