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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, 43, 5, 6, 7, 8  ⊢  
  : , : , : , :
3instantiation9, 10, 11, 12*, 13*  ⊢  
  : , : , :
4axiom  ⊢  
 proveit.core_expr_types.operations.operands_substitution
5instantiation14  ⊢  
  : , :
6instantiation14  ⊢  
  : , :
7instantiation15, 21  ⊢  
  :
8instantiation20, 16  ⊢  
  :
9theorem  ⊢  
 proveit.numbers.division.frac_cancel_left
10instantiation41, 17, 18  ⊢  
  : , : , :
11instantiation41, 26, 19  ⊢  
  : , : , :
12instantiation20, 21  ⊢  
  :
13theorem  ⊢  
 proveit.numbers.numerals.decimals.mult_2_2
14theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15theorem  ⊢  
 proveit.numbers.multiplication.elim_one_left
16instantiation41, 26, 22  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
18instantiation41, 23, 24  ⊢  
  : , : , :
19instantiation41, 32, 25  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.multiplication.elim_one_right
21instantiation41, 26, 27  ⊢  
  : , : , :
22instantiation41, 32, 28  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
24instantiation41, 29, 30  ⊢  
  : , : , :
25instantiation41, 38, 31  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
27instantiation41, 32, 33  ⊢  
  : , : , :
28instantiation41, 38, 34  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
30instantiation41, 35, 36  ⊢  
  : , : , :
31instantiation41, 42, 37  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
33instantiation41, 38, 39  ⊢  
  : , : , :
34instantiation41, 42, 40  ⊢  
  : , : , :
35theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
36theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
37theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
38theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
39instantiation41, 42, 43  ⊢  
  : , : , :
40theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4
41theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
42theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
43theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements