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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,  ⊢  
  : , :
1theorem  ⊢  
 proveit.numbers.ordering.relax_less
2instantiation3, 4,  ⊢  
  : , :
3theorem  ⊢  
 proveit.numbers.addition.subtraction.pos_difference
4instantiation15, 5, 6,  ⊢  
  : , : , :
5instantiation7, 30, 8, 9, 10, 11*  ⊢  
  : , : , :
6instantiation22, 12, 36, 13,  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.numbers.addition.strong_bound_via_left_term_bound
8theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
9instantiation45, 33, 14  ⊢  
  : , : , :
10instantiation15, 16, 17  ⊢  
  : , : , :
11instantiation18, 19, 20  ⊢  
  : , : , :
12instantiation35, 21, 39  ⊢  
  : , :
13assumption  ⊢  
14instantiation45, 38, 21  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
16theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
17instantiation22, 39, 32, 28  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
19instantiation23, 25  ⊢  
  :
20instantiation24, 25, 26  ⊢  
  : , :
21instantiation45, 27, 28  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
23theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
24theorem  ⊢  
 proveit.numbers.addition.commutation
25instantiation45, 29, 30  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
27instantiation31, 39, 32  ⊢  
  : , :
28assumption  ⊢  
29theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
30instantiation45, 33, 34  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
32instantiation35, 36, 37  ⊢  
  : , :
33theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
34instantiation45, 38, 39  ⊢  
  : , : , :
35theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
36instantiation45, 40, 41  ⊢  
  : , : , :
37instantiation42, 43  ⊢  
  :
38theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
39instantiation45, 46, 44  ⊢  
  : , : , :
40theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
41theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
42theorem  ⊢  
 proveit.numbers.negation.int_closure
43instantiation45, 46, 47  ⊢  
  : , : , :
44theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
45theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
46theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
47theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements