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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  ⊢  
  : , : , : , :
1theorem  ⊢  
 proveit.logic.equality.four_chain_transitivity
2instantiation6, 5  ⊢  
  : , : , :
3instantiation6, 7  ⊢  
  : , : , :
4instantiation8, 11  ⊢  
  :
5instantiation10, 9  ⊢  
  :
6axiom  ⊢  
 proveit.logic.equality.substitution
7instantiation10, 11  ⊢  
  :
8theorem  ⊢  
 proveit.numbers.multiplication.elim_one_left
9instantiation36, 13, 12  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.division.frac_one_denom
11instantiation36, 13, 14  ⊢  
  : , : , :
12instantiation36, 16, 15  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
14instantiation36, 16, 17  ⊢  
  : , : , :
15instantiation36, 18, 32  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
17instantiation36, 18, 19  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
19instantiation36, 20, 21  ⊢  
  : , : , :
20instantiation22, 23, 24  ⊢  
  : , :
21assumption  ⊢  
22theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
23theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
24instantiation25, 26, 27  ⊢  
  : , :
25theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
26instantiation28, 29, 30  ⊢  
  : , :
27instantiation31, 32  ⊢  
  :
28theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
29instantiation36, 37, 33  ⊢  
  : , : , :
30instantiation36, 34, 35  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.negation.int_closure
32instantiation36, 37, 38  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
34theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
35axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
36theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
38theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1