logo

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, ,  ⊢  
  : , :
1theorem  ⊢  
 proveit.logic.equality.equals_reversal
2instantiation3, 4, 5, 6, 7, 8, 9, 10, 11, ,  ⊢  
  : , : , : , : , : , :
3theorem  ⊢  
 proveit.numbers.multiplication.association
4axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
5theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
6theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
7theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8instantiation12  ⊢  
  : , :
9instantiation26, 27, 13  ⊢  
  : , : , :
10instantiation26, 27, 14  ⊢  
  : , : , :
11instantiation15, 16, 17  ⊢  
  : , :
12theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
13instantiation26, 24, 18  ⊢  
  : , : , :
14instantiation26, 24, 19  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_closure
16instantiation26, 27, 20  ⊢  
  : , : , :
17instantiation21, 22, 23  ⊢  
  : , :
18assumption  ⊢  
19assumption  ⊢  
20instantiation26, 24, 25  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
22theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
23instantiation26, 27, 28  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
25theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.e_is_real_pos
26theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
28assumption  ⊢