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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, ,  ⊢  
  : , : , :
1axiom  ⊢  
 proveit.logic.equality.substitution
2instantiation3, 4, 27, 30, 5, 6, ,  ⊢  
  : , : , : , :
3theorem  ⊢  
 proveit.numbers.exponentiation.exp_factored_real
4assumption  ⊢  
5instantiation7, 27, 25,  ⊢  
  : , :
6instantiation8, 9,  ⊢  
  : , :
7theorem  ⊢  
 proveit.numbers.addition.add_real_closure_bin
8theorem  ⊢  
 proveit.logic.equality.equals_reversal
9instantiation10, 11, 12,  ⊢  
  : , : , :
10axiom  ⊢  
 proveit.logic.equality.equals_transitivity
11instantiation13, 14, 15, 16, 17, 18, 21, 22, 19,  ⊢  
  : , : , : , : , : , :
12instantiation20, 21, 22, 23,  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.addition.disassociation
14theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
15theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
16axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
17instantiation24  ⊢  
  : , :
18theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
19instantiation35, 26, 25  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_triple_13
21instantiation35, 26, 30  ⊢  
  : , : , :
22instantiation35, 26, 27  ⊢  
  : , : , :
23instantiation28  ⊢  
  :
24theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
25instantiation29, 30  ⊢  
  :
26theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
27instantiation35, 31, 32  ⊢  
  : , : , :
28axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
29theorem  ⊢  
 proveit.numbers.negation.real_closure
30instantiation35, 33, 34  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
32assumption  ⊢  
33theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
34instantiation35, 36, 37  ⊢  
  : , : , :
35theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
37assumption  ⊢