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  ⊢  
  :
1theorem  ⊢  
 proveit.trigonometry.real_closure
2instantiation3, 4, 5  ⊢  
  : , : , :
3theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
4instantiation16, 6, 20  ⊢  
  : , :
5instantiation7, 8, 9, 10, 11, 12, 13, 14, 15  ⊢  
  : , : , : , : , : , :
6instantiation16, 18, 19  ⊢  
  : , :
7theorem  ⊢  
 proveit.numbers.multiplication.disassociation
8axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
9theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
10theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
11theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
12instantiation17  ⊢  
  : , :
13instantiation34, 35, 18  ⊢  
  : , : , :
14instantiation34, 35, 19  ⊢  
  : , : , :
15instantiation34, 35, 20  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.multiplication.mult_real_closure_bin
17theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
18instantiation21, 22, 23  ⊢  
  : , : , :
19instantiation34, 25, 24  ⊢  
  : , : , :
20instantiation34, 25, 26  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
22instantiation27, 28  ⊢  
  : , :
23theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
25theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
26instantiation29, 30  ⊢  
  :
27theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
28theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
29theorem  ⊢  
 proveit.numbers.absolute_value.abs_nonzero_closure
30instantiation31, 32, 33  ⊢  
  :
31theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
32instantiation34, 35, 36  ⊢  
  : , : , :
33assumption  ⊢  
34theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
36instantiation37, 38  ⊢  
  :
37theorem  ⊢  
 proveit.physics.quantum.QPE._delta_b_is_real
38theorem  ⊢  
 proveit.physics.quantum.QPE._best_round_is_int