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	25	⊢
2	instantiation	4, 5	⊢
	: , : , :
3	instantiation	6, 7, 8, 22, 9*	⊢
	: , : , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	25, 10, 11	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.exponentiation.complex_power_of_complex_power
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
8	instantiation	12, 13, 14	⊢
	: , : , :
9	instantiation	35, 36, 15, 67, 37, 16, 40, 41, 42, 43, 22	⊢
	: , : , : , : , : , :
10	instantiation	17, 36, 72, 67, 37, 18, 22, 19, 21	⊢
	: , : , : , : , : , :
11	instantiation	20, 21, 22, 23	⊢
	: , : , :
12	theorem		⊢
	proveit.logic.equality.sub_right_side_into
13	instantiation	33, 34, 24	⊢
	: , :
14	instantiation	25, 26, 27	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
16	instantiation	28	⊢
	: , : , : , :
17	theorem		⊢
	proveit.numbers.addition.disassociation
18	instantiation	50	⊢
	: , :
19	instantiation	70, 51, 29	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
21	instantiation	70, 51, 30	⊢
	: , : , :
22	instantiation	70, 51, 31	⊢
	: , : , :
23	instantiation	32	⊢
	:
24	instantiation	33, 42, 43	⊢
	: , :
25	axiom		⊢
	proveit.logic.equality.equals_transitivity
26	instantiation	35, 67, 72, 36, 39, 37, 34, 42, 43	⊢
	: , : , : , : , : , :
27	instantiation	35, 36, 72, 37, 38, 39, 40, 41, 42, 43	⊢
	: , : , : , : , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
29	instantiation	70, 63, 44	⊢
	: , : , :
30	instantiation	70, 63, 45	⊢
	: , : , :
31	instantiation	46, 47, 48	⊢
	: , : , :
32	axiom		⊢
	proveit.logic.equality.equals_reflexivity
33	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
34	instantiation	70, 51, 49	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.multiplication.disassociation
36	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
37	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
38	instantiation	50	⊢
	: , :
39	instantiation	50	⊢
	: , :
40	instantiation	70, 51, 57	⊢
	: , : , :
41	instantiation	70, 51, 58	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
43	instantiation	70, 51, 52	⊢
	: , : , :
44	instantiation	70, 68, 53	⊢
	: , : , :
45	instantiation	70, 68, 62	⊢
	: , : , :
46	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
47	instantiation	54, 55	⊢
	: , :
48	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
49	instantiation	56, 57, 58	⊢
	: , :
50	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
51	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
52	instantiation	59, 60	⊢
	:
53	instantiation	61, 62	⊢
	:
54	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
55	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
56	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
57	instantiation	70, 63, 64	⊢
	: , : , :
58	instantiation	70, 65, 66	⊢
	: , : , :
59	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
60	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
61	theorem		⊢
	proveit.numbers.negation.int_closure
62	instantiation	70, 71, 67	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
64	instantiation	70, 68, 69	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
66	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
67	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
68	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
69	instantiation	70, 71, 72	⊢
	: , : , :
70	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
71	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
72	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements