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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, 8, 9*  ⊢  
  : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.multiplication.mult_neg_any
2reference12  ⊢  
3reference13  ⊢  
4reference14  ⊢  
5reference15  ⊢  
6reference16  ⊢  
7reference17  ⊢  
8instantiation40, 21, 10  ⊢  
  : , : , :
9instantiation11, 12, 13, 14, 15, 16, 17  ⊢  
  : , : , : , :
10instantiation40, 25, 18  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.multiplication.elim_one_any
12theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
13axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
14instantiation19  ⊢  
  : , :
15theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
16instantiation40, 21, 20  ⊢  
  : , : , :
17instantiation40, 21, 22  ⊢  
  : , : , :
18instantiation40, 23, 24  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
20instantiation40, 25, 26  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
22instantiation27, 28, 29  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
24instantiation40, 30, 31  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
26instantiation40, 32, 33  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
28instantiation34, 35  ⊢  
  : , :
29axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
30theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
31theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
32theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
33instantiation36, 37, 38  ⊢  
  : , :
34theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
35theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
36theorem  ⊢  
 proveit.numbers.division.div_rational_pos_closure
37instantiation40, 41, 39  ⊢  
  : , : , :
38instantiation40, 41, 42  ⊢  
  : , : , :
39theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
40theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
42theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
*equality replacement requirements