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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
2instantiation4, 24, 23,  ⊢  
  : , :
3instantiation7, 5, 6, ,  ⊢  
  : , : , :
4axiom  ⊢  
 proveit.numbers.ordering.max_def_bin
5instantiation7, 8, 9, ,  ⊢  
  : , : , :
6instantiation10, 11, 12, 13  ⊢  
  : , : , : , : , :
7axiom  ⊢  
 proveit.logic.equality.equals_transitivity
8instantiation15, 14, ,  ⊢  
  : , : , :
9instantiation15, 16, ,  ⊢  
  : , : , :
10axiom  ⊢  
 proveit.core_expr_types.conditionals.true_case_reduction
11axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
12theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
13theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
14instantiation17, 21, ,  ⊢  
  : , :
15axiom  ⊢  
 proveit.logic.equality.substitution
16instantiation18, 19, ,  ⊢  
  : , :
17theorem  ⊢  
 proveit.core_expr_types.conditionals.satisfied_condition_reduction
18theorem  ⊢  
 proveit.core_expr_types.conditionals.dissatisfied_condition_reduction
19instantiation20, 23, 24, 21, ,  ⊢  
  : , :
20theorem  ⊢  
 proveit.numbers.ordering.not_less_from_less_eq
21instantiation22, 23, 24, 25, ,  ⊢  
  : , :
22theorem  ⊢  
 proveit.numbers.ordering.relax_equal_to_less_eq
23assumption  ⊢  
24assumption  ⊢  
25instantiation26, 27  ⊢  
  : , :
26theorem  ⊢  
 proveit.logic.equality.equals_reversal
27assumption  ⊢