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