# 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
: , : , :
1reference5
2instantiation7, 3, 4
: , : , :
3instantiation5, 6
: , : , :
4instantiation7, 8, 9
: , : , :
5axiom
proveit.logic.equality.substitution
6instantiation10, 24, 17
: , :
7axiom
proveit.logic.equality.equals_transitivity
8instantiation11, 12, 50, 40, 13, 14, 18, 15, 17
: , : , : , : , : , :
9instantiation16, 17, 18, 19
: , : , :
10theorem
proveit.numbers.negation.distribute_neg_through_binary_sum
11theorem
12axiom
proveit.numbers.number_sets.natural_numbers.zero_in_nats
13theorem
proveit.core_expr_types.tuples.tuple_len_0_typical_eq
14instantiation20
: , :
15instantiation48, 28, 21
: , : , :
16theorem
17instantiation48, 28, 22
: , : , :
18instantiation23, 24
:
19instantiation25
:
20theorem
proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
21instantiation48, 31, 26
: , : , :
22instantiation48, 31, 27
: , : , :
23theorem
proveit.numbers.negation.complex_closure
24instantiation48, 28, 29
: , : , :
25axiom
proveit.logic.equality.equals_reflexivity
26instantiation48, 33, 30
: , : , :
27instantiation48, 33, 38
: , : , :
28theorem
proveit.numbers.number_sets.complex_numbers.real_within_complex
29instantiation48, 31, 32
: , : , :
30instantiation46, 38
:
31theorem
proveit.numbers.number_sets.real_numbers.rational_within_real
32instantiation48, 33, 34
: , : , :
33theorem
proveit.numbers.number_sets.rational_numbers.int_within_rational
34instantiation48, 35, 36
: , : , :
35instantiation37, 38, 39
: , :
36assumption
37theorem
proveit.numbers.number_sets.integers.int_interval_within_int
38instantiation48, 49, 40
: , : , :
39instantiation41, 42, 43
: , :
40theorem
proveit.numbers.numerals.decimals.nat1
41theorem
42instantiation48, 44, 45
: , : , :
43instantiation46, 47
:
44theorem
proveit.numbers.number_sets.integers.nat_pos_within_int
45theorem
proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
46theorem
proveit.numbers.negation.int_closure
47instantiation48, 49, 50
: , : , :
48theorem
proveit.logic.sets.inclusion.superset_membership_from_proper_subset
49theorem
proveit.numbers.number_sets.integers.nat_within_int
50theorem
proveit.numbers.numerals.decimals.nat2