Show the Proof

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

	step type	requirements	statement
0	instantiation	1, 2, 3	⊢
	: , : , :
1	reference	24	⊢
2	instantiation	4, 5	⊢
	: , : , :
3	instantiation	6, 7	⊢
	:
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	8, 9, 10, 11	⊢
	: , :
6	theorem		⊢
	proveit.numbers.exponentiation.exp_zero_eq_one
7	instantiation	78, 55, 12	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_reverse
9	instantiation	30, 13, 14	⊢
	: , : , :
10	instantiation	30, 15, 16	⊢
	: , : , :
11	instantiation	17, 34, 80, 41, 18, 42, 44, 45, 49, 47, 50	⊢
	: , : , : , : , : , : , :
12	instantiation	78, 58, 19	⊢
	: , : , :
13	instantiation	48, 33, 20	⊢
	: , :
14	instantiation	24, 21, 22	⊢
	: , : , :
15	instantiation	48, 33, 23	⊢
	: , :
16	instantiation	24, 25, 26	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
18	instantiation	46	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
20	instantiation	30, 27, 28	⊢
	: , : , :
21	instantiation	40, 80, 34, 41, 29, 42, 33, 49, 47, 50	⊢
	: , : , : , : , : , :
22	instantiation	40, 41, 65, 34, 42, 35, 29, 44, 45, 49, 47, 50	⊢
	: , : , : , : , : , :
23	instantiation	30, 31, 32	⊢
	: , : , :
24	axiom		⊢
	proveit.logic.equality.equals_transitivity
25	instantiation	40, 80, 34, 41, 36, 42, 33, 49, 50, 47	⊢
	: , : , : , : , : , :
26	instantiation	40, 41, 65, 34, 42, 35, 36, 44, 45, 49, 50, 47	⊢
	: , : , : , : , : , :
27	instantiation	48, 37, 50	⊢
	: , :
28	instantiation	40, 41, 65, 80, 42, 38, 49, 47, 50	⊢
	: , : , : , : , : , :
29	instantiation	46	⊢
	: , : , :
30	theorem		⊢
	proveit.logic.equality.sub_right_side_into
31	instantiation	48, 39, 47	⊢
	: , :
32	instantiation	40, 41, 65, 80, 42, 43, 49, 50, 47	⊢
	: , : , : , : , : , :
33	instantiation	48, 44, 45	⊢
	: , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
35	instantiation	51	⊢
	: , :
36	instantiation	46	⊢
	: , : , :
37	instantiation	48, 49, 47	⊢
	: , :
38	instantiation	51	⊢
	: , :
39	instantiation	48, 49, 50	⊢
	: , :
40	theorem		⊢
	proveit.numbers.multiplication.disassociation
41	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
42	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
43	instantiation	51	⊢
	: , :
44	instantiation	78, 55, 52	⊢
	: , : , :
45	instantiation	78, 55, 53	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
47	instantiation	78, 55, 54	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
49	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
50	instantiation	78, 55, 56	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
52	instantiation	78, 60, 57	⊢
	: , : , :
53	instantiation	78, 58, 59	⊢
	: , : , :
54	instantiation	78, 60, 61	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
56	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
57	instantiation	78, 63, 62	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
59	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
60	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
61	instantiation	78, 63, 64	⊢
	: , : , :
62	instantiation	78, 79, 65	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
64	instantiation	78, 66, 67	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
66	instantiation	68, 69, 70	⊢
	: , :
67	assumption		⊢
68	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
69	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
70	instantiation	71, 72, 73	⊢
	: , :
71	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
72	instantiation	78, 74, 75	⊢
	: , : , :
73	instantiation	76, 77	⊢
	:
74	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
75	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
76	theorem		⊢
	proveit.numbers.negation.int_closure
77	instantiation	78, 79, 80	⊢
	: , : , :
78	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
79	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
80	theorem		⊢
	proveit.numbers.numerals.decimals.nat1