logo

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,  ⊢  
  : , : , :
1axiom  ⊢  
 proveit.logic.equality.equals_transitivity
2instantiation4, 5, 6, 7, 8, 9, 12, 13, 10,  ⊢  
  : , : , : , : , : , :
3instantiation11, 12, 13, 14,  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.numbers.addition.disassociation
5theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
6theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
7axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
8instantiation15  ⊢  
  : , :
9theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
10instantiation26, 17, 16  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_triple_13
12instantiation26, 17, 21  ⊢  
  : , : , :
13instantiation26, 17, 18  ⊢  
  : , : , :
14instantiation19  ⊢  
  :
15theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16instantiation20, 21  ⊢  
  :
17theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
18instantiation26, 22, 23  ⊢  
  : , : , :
19axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
20theorem  ⊢  
 proveit.numbers.negation.real_closure
21instantiation26, 24, 25  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
23assumption  ⊢  
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
25instantiation26, 27, 28  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
28assumption  ⊢