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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
0generalization1  ⊢  
1instantiation23, 29, 2, 3, 4, 5, ,  ⊢  
  : , : , : , :
2instantiation30, 36  ⊢  
  : , : , :
3instantiation28, 29  ⊢  
  : , :
4instantiation6, 7, 8, ,  ⊢  
  : , : , :
5instantiation9, 10  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.logic.equality.sub_left_side_into
7instantiation11, 12, 13, ,  ⊢  
  : , :
8instantiation14, 36  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.core_expr_types.tuples.merge_extension
10instantiation35, 36  ⊢  
  : , :
11theorem  ⊢  
 proveit.logic.booleans.disjunction.binary_closure
12instantiation15, 16, ,  ⊢  
  :
13instantiation17, 36, 19, 21, 20, 22,  ⊢  
  : , : , : , : , :
14axiom  ⊢  
 proveit.logic.booleans.disjunction.multi_disjunction_def
15assumption  ⊢  
16instantiation18, 19, 36, 34, 20, 21, 22,  ⊢  
  : , : , : , : , : , :
17theorem  ⊢  
 proveit.logic.booleans.conjunction.any_from_and
18theorem  ⊢  
 proveit.logic.booleans.conjunction.some_from_and
19axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
20theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
21instantiation28, 36  ⊢  
  : , :
22instantiation23, 29, 24, 25, 26, 27,  ⊢  
  : , : , : , :
23theorem  ⊢  
 proveit.logic.equality.sub_in_right_operands_via_tuple
24instantiation28, 29  ⊢  
  : , :
25instantiation30, 36  ⊢  
  : , : , :
26assumption  ⊢  
27instantiation31, 32  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.core_expr_types.tuples.range_from1_len_typical_eq
29instantiation33, 36, 34  ⊢  
  : , :
30theorem  ⊢  
 proveit.core_expr_types.tuples.extended_range_from1_len_typical_eq
31axiom  ⊢  
 proveit.core_expr_types.tuples.range_extension_def
32instantiation35, 36  ⊢  
  : , :
33theorem  ⊢  
 proveit.numbers.addition.add_nat_closure_bin
34theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
35theorem  ⊢  
 proveit.core_expr_types.tuples.range_from1_len_is_nat
36instantiation37, 38, 39  ⊢  
  : , : , :
37theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
39assumption  ⊢