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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*  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.numbers.exponentiation.real_power_of_real_power
2instantiation31, 23, 7  ⊢  
  : , : , :
3instantiation31, 26, 8  ⊢  
  : , : , :
4reference24  ⊢  
5instantiation9, 10  ⊢  
  :
6instantiation11, 12, 20, 13*  ⊢  
  : , :
7instantiation31, 14, 17  ⊢  
  : , : , :
8instantiation31, 29, 15  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
10instantiation31, 16, 17  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.multiplication.mult_neg_left
12instantiation31, 23, 18  ⊢  
  : , : , :
13instantiation19, 20  ⊢  
  :
14theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
15instantiation21, 25  ⊢  
  :
16theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
17theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
18instantiation31, 26, 22  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.multiplication.elim_one_left
20instantiation31, 23, 24  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.negation.int_closure
22instantiation31, 29, 25  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
24instantiation31, 26, 27  ⊢  
  : , : , :
25instantiation31, 32, 28  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
27instantiation31, 29, 30  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
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
*equality replacement requirements