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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  ⊢  
  : , : , :
1reference6  ⊢  
2instantiation6, 3  ⊢  
  : , : , :
3instantiation4, 5  ⊢  
  : , :
4theorem  ⊢  
 proveit.logic.equality.equals_reversal
5instantiation6, 7  ⊢  
  : , : , :
6axiom  ⊢  
 proveit.logic.equality.substitution
7instantiation8, 9, 10  ⊢  
  : , :
8theorem  ⊢  
 proveit.numbers.multiplication.commutation
9instantiation23, 12, 11  ⊢  
  : , : , :
10instantiation23, 12, 13  ⊢  
  : , : , :
11instantiation23, 14, 15  ⊢  
  : , : , :
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
15instantiation23, 16, 17  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
17instantiation18, 19, 20  ⊢  
  : , :
18theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
19instantiation23, 21, 22  ⊢  
  : , : , :
20instantiation23, 24, 25  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
22theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
23theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
24theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
25axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos