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, 10  ⊢  
  : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.multiplication.disassociation
2theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
3theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
4axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
5instantiation11  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7instantiation32, 14, 12  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
9instantiation32, 14, 13  ⊢  
  : , : , :
10instantiation32, 14, 15  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
12instantiation16, 17, 18  ⊢  
  : , :
13instantiation19, 20  ⊢  
  :
14theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
15instantiation21, 22, 23  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.multiplication.mult_real_closure_bin
17instantiation32, 24, 25  ⊢  
  : , : , :
18instantiation32, 26, 27  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.physics.quantum.QPE._delta_b_is_real
20theorem  ⊢  
 proveit.physics.quantum.QPE._best_round_is_int
21theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
22instantiation28, 29  ⊢  
  : , :
23theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
25instantiation32, 30, 31  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
27theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
28theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
29theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
30theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
31instantiation32, 33, 34  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
34theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2