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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,  ⊢  
  : , : , :
1axiom  ⊢  
 proveit.logic.equality.equals_transitivity
2instantiation4, 5,  ⊢  
  : , : , :
3instantiation6, 18, 7,  ⊢  
  : , :
4axiom  ⊢  
 proveit.logic.equality.substitution
5instantiation8, 9, 32, 10, 11, 12, 13, 14, 15,  ⊢  
  : , : , : , : , : , :
6theorem  ⊢  
 proveit.numbers.rounding.ceil_of_real_plus_int
7instantiation16, 25, 27  ⊢  
  : , :
8theorem  ⊢  
 proveit.numbers.addition.association
9theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
10axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
11instantiation17  ⊢  
  : , :
12theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
13instantiation30, 20, 18  ⊢  
  : , : , :
14instantiation30, 20, 19  ⊢  
  : , : , :
15instantiation30, 20, 21  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
17theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
18assumption  ⊢  
19instantiation30, 23, 22  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
21instantiation30, 23, 24  ⊢  
  : , : , :
22instantiation30, 26, 25  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
24instantiation30, 26, 27  ⊢  
  : , : , :
25instantiation28, 29  ⊢  
  :
26theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
27instantiation30, 31, 32  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.negation.int_closure
29assumption  ⊢  
30theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
32theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2