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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.numbers.number_sets.integers.nonpos_int_is_int_nonpos
2instantiation4, 28, 26  ⊢  
  : , :
3instantiation5, 17, 16, 19, 6, 7*, 8*  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
5theorem  ⊢  
 proveit.numbers.addition.weak_bound_via_left_term_bound
6instantiation9, 37  ⊢  
  :
7instantiation10, 11, 12  ⊢  
  : , :
8instantiation13, 14, 15  ⊢  
  : , :
9theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
10theorem  ⊢  
 proveit.numbers.addition.commutation
11instantiation35, 18, 16  ⊢  
  : , : , :
12instantiation35, 18, 17  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_basic
14instantiation35, 18, 19  ⊢  
  : , : , :
15instantiation20  ⊢  
  :
16instantiation35, 22, 21  ⊢  
  : , : , :
17instantiation35, 22, 23  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
19instantiation24, 25, 37  ⊢  
  : , : , :
20axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
21instantiation35, 27, 26  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
23instantiation35, 27, 28  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
25instantiation29, 30  ⊢  
  : , :
26instantiation35, 31, 32  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
28instantiation33, 34  ⊢  
  :
29theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
30theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
31theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
32theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
33theorem  ⊢  
 proveit.numbers.negation.int_closure
34instantiation35, 36, 37  ⊢  
  : , : , :
35theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
37assumption  ⊢  
*equality replacement requirements