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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*, , , ,  ⊢  
  : , :
1axiom  ⊢  
 proveit.numbers.ordering.max_def_bin
2reference24  ⊢  
3reference23  ⊢  
4instantiation5, 6, 7, , , ,  ⊢  
  : , : , :
5axiom  ⊢  
 proveit.logic.equality.equals_transitivity
6instantiation8, 9, 10, 11, 12, 13, , , ,  ⊢  
  : , : , : , :
7instantiation14, 15, 16, 17  ⊢  
  : , : , : , : , :
8axiom  ⊢  
 proveit.core_expr_types.operations.operands_substitution
9theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
10instantiation18  ⊢  
  : , :
11instantiation18  ⊢  
  : , :
12instantiation19, 25, ,  ⊢  
  : , :
13instantiation20, 21, , , ,  ⊢  
  : , :
14axiom  ⊢  
 proveit.core_expr_types.conditionals.true_case_reduction
15axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
16theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
17theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
18theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
19theorem  ⊢  
 proveit.core_expr_types.conditionals.satisfied_condition_reduction
20theorem  ⊢  
 proveit.core_expr_types.conditionals.dissatisfied_condition_reduction
21instantiation22, 23, 24, 25, , , ,  ⊢  
  : , :
22theorem  ⊢  
 proveit.numbers.ordering.not_less_from_less_eq
23assumption  ⊢  
24assumption  ⊢  
25instantiation26, 27, ,  ⊢  
  : , :
26theorem  ⊢  
 proveit.numbers.ordering.relax_less
27instantiation28, 29, 30, ,  ⊢  
  : , : , :
28axiom  ⊢  
 proveit.numbers.ordering.transitivity_less_less
29instantiation31, 32, 33,  ⊢  
  : , : , :
30assumption  ⊢  
31theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
32assumption  ⊢  
33assumption  ⊢  
*equality replacement requirements