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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.core_expr_types.tuples.partition_front
2instantiation4, 5, 6  ⊢  
  :
3instantiation7, 8  ⊢  
  :
4theorem  ⊢  
 proveit.numbers.number_sets.integers.nonneg_int_is_natural
5instantiation9, 10, 11  ⊢  
  : , :
6instantiation12, 13  ⊢  
  : , :
7theorem  ⊢  
 proveit.numbers.addition.elim_zero_left
8instantiation29, 14, 15  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
10instantiation29, 30, 20  ⊢  
  : , : , :
11instantiation16, 17, 18  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.addition.subtraction.nonneg_difference
13instantiation19, 20  ⊢  
  :
14theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
15instantiation29, 21, 22  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
17instantiation23, 24  ⊢  
  : , :
18instantiation25, 26  ⊢  
  : , :
19theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_lower_bound
20theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
21theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
22instantiation29, 27, 28  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
24theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_set_within_int
25theorem  ⊢  
 proveit.logic.sets.enumeration.fold_singleton
26theorem  ⊢  
 proveit.numbers.negation.negated_zero
27theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
28instantiation29, 30, 31  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
31theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1