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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, 6, 7, 8  ⊢  
  : , : , : , :
1theorem  ⊢  
 proveit.numbers.multiplication.elim_one_any
2theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
3theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
4instantiation9  ⊢  
  : , : , :
5instantiation20, 12, 10  ⊢  
  : , : , :
6instantiation20, 12, 11  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
8instantiation20, 12, 13  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
10instantiation20, 14, 15  ⊢  
  : , : , :
11instantiation20, 16, 17  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
13theorem  ⊢  
 proveit.physics.quantum.QPE._phase_is_real
14theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
15instantiation20, 18, 19  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
17theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
18theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
19instantiation20, 21, 22  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
21theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
22theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2