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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  ⊢  
  : , : , :
1axiom  ⊢  
 proveit.logic.equality.equals_transitivity
2instantiation4, 39, 5, 6, 7, 8  ⊢  
  : , : , : , :
3instantiation9, 10, 11, 12, 13*, 14*  ⊢  
  : , : , :
4axiom  ⊢  
 proveit.core_expr_types.operations.operands_substitution
5instantiation15  ⊢  
  : , :
6instantiation15  ⊢  
  : , :
7instantiation16, 17  ⊢  
  :
8theorem  ⊢  
 proveit.numbers.numerals.decimals.mult_3_2
9theorem  ⊢  
 proveit.numbers.division.frac_cancel_left
10instantiation40, 19, 18  ⊢  
  : , : , :
11instantiation40, 19, 20  ⊢  
  : , : , :
12instantiation40, 22, 21  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.numerals.decimals.mult_2_2
14theorem  ⊢  
 proveit.numbers.numerals.decimals.mult_2_3
15theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16theorem  ⊢  
 proveit.numbers.multiplication.elim_one_right
17instantiation40, 22, 23  ⊢  
  : , : , :
18instantiation40, 25, 24  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
20instantiation40, 25, 26  ⊢  
  : , : , :
21instantiation40, 28, 27  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
23instantiation40, 28, 29  ⊢  
  : , : , :
24instantiation40, 31, 30  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
26instantiation40, 31, 32  ⊢  
  : , : , :
27instantiation40, 34, 33  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
29instantiation40, 34, 35  ⊢  
  : , : , :
30instantiation40, 37, 36  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
32instantiation40, 37, 38  ⊢  
  : , : , :
33instantiation40, 41, 39  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
35instantiation40, 41, 42  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
37theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
38theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat3
39theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
40theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
42theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4
*equality replacement requirements