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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, ,  ⊢  
  : , : , :
1reference7  ⊢  
2instantiation4, 26, 25,  ⊢  
  : , :
3instantiation5, 25, 26, 6*, ,  ⊢  
  : , :
4theorem  ⊢  
 proveit.numbers.ordering.min_bin_args_commute
5axiom  ⊢  
 proveit.numbers.ordering.min_def_bin
6instantiation7, 8, 9, ,  ⊢  
  : , : , :
7axiom  ⊢  
 proveit.logic.equality.equals_transitivity
8instantiation10, 11, 12, 13, 14, 15, ,  ⊢  
  : , : , : , :
9instantiation16, 17, 18, 19  ⊢  
  : , : , : , : , :
10axiom  ⊢  
 proveit.core_expr_types.operations.operands_substitution
11theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
12instantiation20  ⊢  
  : , :
13instantiation20  ⊢  
  : , :
14instantiation21, 27  ⊢  
  : , :
15instantiation22, 23, ,  ⊢  
  : , :
16axiom  ⊢  
 proveit.core_expr_types.conditionals.true_case_reduction
17axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
18theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
19theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
20theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
21theorem  ⊢  
 proveit.core_expr_types.conditionals.satisfied_condition_reduction
22theorem  ⊢  
 proveit.core_expr_types.conditionals.dissatisfied_condition_reduction
23instantiation24, 25, 26, 27, ,  ⊢  
  : , :
24theorem  ⊢  
 proveit.numbers.ordering.not_less_from_less_eq
25assumption  ⊢  
26assumption  ⊢  
27instantiation28, 29  ⊢  
  : , :
28theorem  ⊢  
 proveit.numbers.ordering.relax_less
29assumption  ⊢  
*equality replacement requirements