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.multiplication.mult_neg_any
2reference12  ⊢  
3reference41  ⊢  
4reference13  ⊢  
5reference14  ⊢  
6instantiation39, 25, 10  ⊢  
  : , : , :
7reference15  ⊢  
8reference16  ⊢  
9instantiation11, 12, 41, 13, 14, 15, 16  ⊢  
  : , : , : , :
10instantiation39, 30, 17  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.multiplication.elim_one_any
12axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
13theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
14instantiation18  ⊢  
  : , :
15instantiation19, 20, 21  ⊢  
  : , :
16instantiation39, 25, 22  ⊢  
  : , : , :
17instantiation39, 35, 23  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
19theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_closure
20instantiation39, 25, 24  ⊢  
  : , : , :
21instantiation39, 25, 26  ⊢  
  : , : , :
22instantiation27, 28  ⊢  
  :
23instantiation39, 40, 29  ⊢  
  : , : , :
24instantiation39, 30, 31  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
26instantiation32, 33, 34  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.physics.quantum.QPE._delta_b_is_real
28theorem  ⊢  
 proveit.physics.quantum.QPE._best_floor_is_int
29theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
30theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
31instantiation39, 35, 36  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
33instantiation37, 38  ⊢  
  : , :
34axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
35theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
36instantiation39, 40, 41  ⊢  
  : , : , :
37theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
38theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
39theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
41theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements