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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.linear_algebra.addition.vec_sum_split_after
2instantiation36, 37, 8  ⊢  
  : , : , :
3reference35  ⊢  
4instantiation36, 37, 9  ⊢  
  : , : , :
5instantiation10, 11  ⊢  
  :
6instantiation12, 31, 13, 14, 15, 16*, 17*  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.numbers.numerals.decimals.add_5_1
8theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
9theorem  ⊢  
 proveit.numbers.numerals.decimals.nat8
10theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
11theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat5
12theorem  ⊢  
 proveit.numbers.addition.strong_bound_via_left_term_bound
13theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
14instantiation36, 32, 18  ⊢  
  : , : , :
15instantiation19, 20  ⊢  
  :
16instantiation21, 22, 23  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.numerals.decimals.add_3_5
18instantiation36, 34, 24  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
20theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat3
21theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
22instantiation25, 27  ⊢  
  :
23instantiation26, 27, 28  ⊢  
  : , :
24instantiation36, 37, 29  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
26theorem  ⊢  
 proveit.numbers.addition.commutation
27instantiation36, 30, 31  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
29theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
30theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
31instantiation36, 32, 33  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
33instantiation36, 34, 35  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
35instantiation36, 37, 38  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
38theorem  ⊢  
 proveit.numbers.numerals.decimals.nat5
*equality replacement requirements