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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*  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.numbers.exponentiation.exp_monotonicity_large_base_less_eq
2reference19  ⊢  
3instantiation25, 21, 8  ⊢  
  : , : , :
4instantiation9, 10, 12  ⊢  
  : , : , :
5theorem  ⊢  
 proveit.numbers.numerals.decimals.less_1_2
6instantiation11, 12  ⊢  
  :
7instantiation13, 14  ⊢  
  :
8instantiation25, 23, 15  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
10instantiation16, 17  ⊢  
  : , :
11theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
12axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
13theorem  ⊢  
 proveit.numbers.exponentiation.complex_x_to_first_power_is_x
14instantiation25, 18, 19  ⊢  
  : , : , :
15instantiation25, 26, 20  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
17theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
18theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
19instantiation25, 21, 22  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
21theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
22instantiation25, 23, 24  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
24instantiation25, 26, 27  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
26theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
27theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements