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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, , ,  ⊢  
  : , : , : , :
1theorem  ⊢  
 proveit.logic.equality.four_chain_transitivity
2instantiation5, 10, 9, 13, 12, 11, 15, 22, 14, 20, , ,  ⊢  
  : , : , : , : , : , :
3instantiation6, 10, 9, 13, 11, 7, 14, 20, , ,  ⊢  
  : , : , : , : , : , : , :
4instantiation8, 9, 10, 11, 12, 13, 14, 20, 15, 22, , ,  ⊢  
  : , : , : , : , : , :
5theorem  ⊢  
 proveit.numbers.multiplication.association
6theorem  ⊢  
 proveit.numbers.multiplication.rightward_commutation
7instantiation21, 15, 22,  ⊢  
  : , :
8theorem  ⊢  
 proveit.numbers.multiplication.disassociation
9theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
10axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
11instantiation16  ⊢  
  : , :
12instantiation16  ⊢  
  : , :
13theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
14instantiation17, 18, 19, ,  ⊢  
  : , :
15assumption  ⊢  
16theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
17theorem  ⊢  
 proveit.numbers.addition.add_complex_closure_bin
18instantiation21, 23, 20,  ⊢  
  : , :
19instantiation21, 22, 23,  ⊢  
  : , :
20assumption  ⊢  
21theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
22assumption  ⊢  
23assumption  ⊢