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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.division.div_as_mult
2reference20  ⊢  
3reference13  ⊢  
4instantiation6, 7  ⊢  
  :
5instantiation8, 9  ⊢  
  :
6theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
7instantiation10, 25, 11  ⊢  
  :
8theorem  ⊢  
 proveit.numbers.multiplication.elim_one_left
9instantiation12, 13, 14  ⊢  
  : , :
10theorem  ⊢  
 proveit.numbers.number_sets.integers.pos_int_is_natural_pos
11instantiation15, 16, 17  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_closure
13instantiation42, 23, 18  ⊢  
  : , : , :
14instantiation19, 20  ⊢  
  :
15theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
16theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
17instantiation21, 32, 33, 29  ⊢  
  : , : , :
18instantiation42, 26, 22  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.negation.complex_closure
20instantiation42, 23, 24  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
22instantiation42, 30, 25  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
24instantiation42, 26, 27  ⊢  
  : , : , :
25instantiation42, 28, 29  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
27instantiation42, 30, 32  ⊢  
  : , : , :
28instantiation31, 32, 33  ⊢  
  : , :
29assumption  ⊢  
30theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
31theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
32instantiation42, 43, 34  ⊢  
  : , : , :
33instantiation35, 36, 37  ⊢  
  : , :
34theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
35theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
36instantiation42, 38, 39  ⊢  
  : , : , :
37instantiation40, 41  ⊢  
  :
38theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
39theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
40theorem  ⊢  
 proveit.numbers.negation.int_closure
41instantiation42, 43, 44  ⊢  
  : , : , :
42theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
44theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements