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  ⊢  
  : , :
1theorem  ⊢  
 proveit.numbers.addition.add_real_closure_bin
2instantiation4, 5, 6  ⊢  
  : , :
3instantiation24, 9, 7  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.numbers.multiplication.mult_real_closure_bin
5instantiation24, 9, 8  ⊢  
  : , : , :
6instantiation24, 9, 10  ⊢  
  : , : , :
7instantiation24, 12, 11  ⊢  
  : , : , :
8instantiation24, 12, 13  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
10instantiation24, 14, 15  ⊢  
  : , : , :
11instantiation17, 16, 19  ⊢  
  : , :
12theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
13instantiation17, 18, 19  ⊢  
  : , :
14theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
15instantiation24, 20, 21  ⊢  
  : , : , :
16instantiation24, 25, 22  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.division.div_rational_pos_closure
18instantiation24, 25, 23  ⊢  
  : , : , :
19instantiation24, 25, 26  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
21theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
22theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat3
23theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
24theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
25theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
26theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2