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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, 10*  ⊢  
  : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.multiplication.distribute_through_sum
2axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
3reference23  ⊢  
4reference26  ⊢  
5theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6instantiation11  ⊢  
  : , :
7instantiation24, 13, 12  ⊢  
  : , : , :
8instantiation24, 13, 14  ⊢  
  : , : , :
9reference16  ⊢  
10instantiation15, 16  ⊢  
  :
11theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12instantiation24, 18, 17  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
14instantiation24, 18, 19  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.multiplication.elim_one_left
16assumption  ⊢  
17instantiation24, 21, 20  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
19instantiation24, 21, 22  ⊢  
  : , : , :
20instantiation24, 25, 23  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
22instantiation24, 25, 26  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
24theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
25theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
26theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
*equality replacement requirements