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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*  ⊢  
  : , :
1theorem  ⊢  
 proveit.numbers.exponentiation.even_pow_is_even_fn_rev
2instantiation50, 27, 6  ⊢  
  : , : , :
3reference49  ⊢  
4instantiation7, 8  ⊢  
  :
5instantiation9, 10, 11, 12  ⊢  
  : , : , : , :
6instantiation13, 28, 14  ⊢  
  : , :
7theorem  ⊢  
 proveit.numbers.multiplication.elim_one_right
8instantiation50, 27, 15  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.logic.equality.four_chain_transitivity
10instantiation16, 24, 19  ⊢  
  : , :
11instantiation17, 18, 19  ⊢  
  : , :
12instantiation20  ⊢  
  :
13theorem  ⊢  
 proveit.numbers.addition.add_real_closure_bin
14instantiation21, 25  ⊢  
  :
15instantiation50, 36, 22  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.negation.distribute_neg_through_subtract
17theorem  ⊢  
 proveit.numbers.addition.commutation
18instantiation23, 24  ⊢  
  :
19instantiation50, 27, 25  ⊢  
  : , : , :
20axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
21theorem  ⊢  
 proveit.numbers.negation.real_closure
22instantiation50, 40, 26  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.negation.complex_closure
24instantiation50, 27, 28  ⊢  
  : , : , :
25instantiation50, 36, 29  ⊢  
  : , : , :
26instantiation50, 48, 30  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
28instantiation31, 32, 33, 34  ⊢  
  : , : , :
29instantiation50, 40, 35  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
31theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
32theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
33instantiation50, 36, 37  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
35instantiation50, 38, 39  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
37instantiation50, 40, 45  ⊢  
  : , : , :
38instantiation41, 42, 47  ⊢  
  : , :
39assumption  ⊢  
40theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
41theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
42instantiation43, 44, 45  ⊢  
  : , :
43theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
44instantiation46, 47  ⊢  
  :
45instantiation50, 48, 49  ⊢  
  : , : , :
46theorem  ⊢  
 proveit.numbers.negation.int_closure
47instantiation50, 51, 52  ⊢  
  : , : , :
48theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
49theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
50theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
51theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
52theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements