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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,  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
2instantiation10, 4, 9,  ⊢  
  : , :
3instantiation5, 6, 37, 42, 7, 8, 11, 12, 9,  ⊢  
  : , : , : , : , : , :
4instantiation10, 11, 12  ⊢  
  : , :
5theorem  ⊢  
 proveit.numbers.multiplication.disassociation
6axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
7theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8instantiation13  ⊢  
  : , :
9instantiation40, 15, 14  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
11theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
12instantiation40, 15, 16  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
14instantiation40, 18, 17  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
16instantiation40, 18, 19  ⊢  
  : , : , :
17instantiation40, 21, 20  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
19instantiation40, 21, 22  ⊢  
  : , : , :
20instantiation40, 24, 23  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
22instantiation40, 24, 25  ⊢  
  : , : , :
23assumption  ⊢  
24instantiation26, 27, 28  ⊢  
  : , :
25assumption  ⊢  
26theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
27theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
28instantiation29, 30, 31  ⊢  
  : , :
29theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
30instantiation32, 33, 34  ⊢  
  : , :
31instantiation35, 36  ⊢  
  :
32theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
33instantiation40, 41, 37  ⊢  
  : , : , :
34instantiation40, 38, 39  ⊢  
  : , : , :
35theorem  ⊢  
 proveit.numbers.negation.int_closure
36instantiation40, 41, 42  ⊢  
  : , : , :
37theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
38theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
39axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
40theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
42theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1