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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.booleans.disjunction.binary_closure
2instantiation4, 5, ,  ⊢  
  :
3instantiation6, 25, 8, 10, 9, 11,  ⊢  
  : , : , : , : , :
4assumption  ⊢  
5instantiation7, 8, 25, 23, 9, 10, 11,  ⊢  
  : , : , : , : , : , :
6theorem  ⊢  
 proveit.logic.booleans.conjunction.any_from_and
7theorem  ⊢  
 proveit.logic.booleans.conjunction.some_from_and
8axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
9theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
10instantiation17, 25  ⊢  
  : , :
11instantiation12, 18, 13, 14, 15, 16,  ⊢  
  : , : , : , :
12theorem  ⊢  
 proveit.logic.equality.sub_in_right_operands_via_tuple
13instantiation17, 18  ⊢  
  : , :
14instantiation19, 25  ⊢  
  : , : , :
15assumption  ⊢  
16instantiation20, 21  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.core_expr_types.tuples.range_from1_len_typical_eq
18instantiation22, 25, 23  ⊢  
  : , :
19theorem  ⊢  
 proveit.core_expr_types.tuples.extended_range_from1_len_typical_eq
20axiom  ⊢  
 proveit.core_expr_types.tuples.range_extension_def
21instantiation24, 25  ⊢  
  : , :
22theorem  ⊢  
 proveit.numbers.addition.add_nat_closure_bin
23theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
24theorem  ⊢  
 proveit.core_expr_types.tuples.range_from1_len_is_nat
25instantiation26, 27, 28  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
28assumption  ⊢