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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  ⊢  
  : , : , :
1reference19  ⊢  
2instantiation13, 3, 4  ⊢  
  : , : , :
3instantiation19, 5  ⊢  
  : , : , :
4instantiation6, 7, 8, 9, 22, 10, 11, 12  ⊢  
  : , : , : , :
5instantiation13, 14, 15  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.multiplication.elim_one_any
7theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
8theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
9instantiation16  ⊢  
  : , : , :
10instantiation31, 25, 17  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
12instantiation31, 25, 18  ⊢  
  : , : , :
13axiom  ⊢  
 proveit.logic.equality.equals_transitivity
14instantiation19, 20  ⊢  
  : , : , :
15instantiation21, 22  ⊢  
  :
16theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
17instantiation31, 23, 24  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.physics.quantum.QPE._phase_is_real
19axiom  ⊢  
 proveit.logic.equality.substitution
20theorem  ⊢  
 proveit.numbers.negation.negated_zero
21theorem  ⊢  
 proveit.numbers.exponentiation.exp_zero_eq_one
22instantiation31, 25, 26  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
25theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
26instantiation31, 27, 28  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
28instantiation31, 29, 30  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
30instantiation31, 32, 33  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2