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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  ⊢  
  : , :
1theorem  ⊢  
 proveit.logic.equality.equals_reversal
2instantiation3, 4, 5  ⊢  
  : , : , :
3theorem  ⊢  
 proveit.core_expr_types.tuples.partition_front
4instantiation6, 7, 8  ⊢  
  :
5instantiation9, 10  ⊢  
  :
6theorem  ⊢  
 proveit.numbers.number_sets.integers.nonneg_int_is_natural
7instantiation11, 12, 13  ⊢  
  : , :
8instantiation14, 15  ⊢  
  : , :
9theorem  ⊢  
 proveit.numbers.addition.elim_zero_left
10instantiation31, 16, 17  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
12instantiation31, 32, 22  ⊢  
  : , : , :
13instantiation18, 19, 20  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.addition.subtraction.nonneg_difference
15instantiation21, 22  ⊢  
  :
16theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
17instantiation31, 23, 24  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
19instantiation25, 26  ⊢  
  : , :
20instantiation27, 28  ⊢  
  : , :
21theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_lower_bound
22theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
23theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
24instantiation31, 29, 30  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
26theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_set_within_int
27theorem  ⊢  
 proveit.logic.sets.enumeration.fold_singleton
28theorem  ⊢  
 proveit.numbers.negation.negated_zero
29theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
30instantiation31, 32, 33  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1