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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
2instantiation12, 4, 11,  ⊢  
  : , :
3instantiation5, 6, 7, 8, 9, 10, 13, 14, 11,  ⊢  
  : , : , : , : , : , :
4instantiation12, 13, 14  ⊢  
  : , :
5theorem  ⊢  
 proveit.numbers.multiplication.disassociation
6axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
7theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
8theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
9theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
10instantiation15  ⊢  
  : , :
11instantiation23, 17, 16  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
13theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
14instantiation23, 17, 18  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16instantiation23, 20, 19  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
18instantiation23, 20, 21  ⊢  
  : , : , :
19instantiation23, 24, 22  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
21instantiation23, 24, 25  ⊢  
  : , : , :
22assumption  ⊢  
23theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
24theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
25assumption  ⊢