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,  ⊢  
  : , : , :
1reference24  ⊢  
2theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
3instantiation24, 4, 5,  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
5instantiation24, 6, 7,  ⊢  
  : , : , :
6instantiation8, 9, 10  ⊢  
  : , :
7instantiation11, 26, 12  ⊢  
  : , : , : , : , :
8theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
9theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
10instantiation13, 14, 15  ⊢  
  : , :
11theorem  ⊢  
 proveit.logic.booleans.conjunction.any_from_and
12assumption  ⊢  
13theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
14instantiation16, 17, 18  ⊢  
  : , :
15instantiation19, 20  ⊢  
  :
16theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
17instantiation24, 25, 21  ⊢  
  : , : , :
18instantiation24, 22, 23  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.negation.int_closure
20instantiation24, 25, 26  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
22theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
23assumption  ⊢  
24theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
25theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
26theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1