# 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, 4, 5
: , : , :
1theorem
2reference13
3reference25
4reference20
5instantiation6, 7, 8
: , : , :
6theorem
proveit.logic.equality.sub_right_side_into
7instantiation9, 10, 11
: , : , :
8instantiation12, 25, 13
: , :
9axiom
proveit.logic.equality.equals_transitivity
10instantiation14, 44, 54, 15, 16, 17, 25, 18, 20
: , : , : , : , : , :
11instantiation19, 25, 20, 21
: , : , :
12theorem
13instantiation52, 30, 22
: , : , :
14theorem
15axiom
proveit.numbers.number_sets.natural_numbers.zero_in_nats
16instantiation23
: , :
17theorem
proveit.core_expr_types.tuples.tuple_len_0_typical_eq
18instantiation24, 25
:
19theorem
20instantiation52, 30, 29
: , : , :
21instantiation26
:
22instantiation27, 28, 29
: , :
23theorem
proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
24theorem
proveit.numbers.negation.complex_closure
25instantiation52, 30, 32
: , : , :
26axiom
proveit.logic.equality.equals_reflexivity
27theorem
28instantiation31, 32
:
29instantiation52, 34, 33
: , : , :
30theorem
proveit.numbers.number_sets.complex_numbers.real_within_complex
31theorem
proveit.numbers.negation.real_closure
32instantiation52, 34, 35
: , : , :
33instantiation52, 37, 36
: , : , :
34theorem
proveit.numbers.number_sets.real_numbers.rational_within_real
35instantiation52, 37, 38
: , : , :
36instantiation50, 42
:
37theorem
proveit.numbers.number_sets.rational_numbers.int_within_rational
38instantiation52, 39, 40
: , : , :
39instantiation41, 42, 43
: , :
40assumption
41theorem
proveit.numbers.number_sets.integers.int_interval_within_int
42instantiation52, 53, 44
: , : , :
43instantiation45, 46, 47
: , :
44theorem
proveit.numbers.numerals.decimals.nat1
45theorem
46instantiation52, 48, 49
: , : , :
47instantiation50, 51
:
48theorem
proveit.numbers.number_sets.integers.nat_pos_within_int
49theorem
proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
50theorem
proveit.numbers.negation.int_closure
51instantiation52, 53, 54
: , : , :
52theorem
proveit.logic.sets.inclusion.superset_membership_from_proper_subset
53theorem
proveit.numbers.number_sets.integers.nat_within_int
54theorem
proveit.numbers.numerals.decimals.nat2