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	⊢
	: , :
1	theorem		⊢
	proveit.logic.equality.equals_reversal
2	instantiation	3, 4, 5, 6	⊢
	: , :
3	instantiation	7, 8	⊢
	:
4	instantiation	56, 47, 9	⊢
	: , : , :
5	instantiation	10, 11, 12	⊢
	: , : , :
6	instantiation	13, 14	⊢
	:
7	theorem		⊢
	proveit.numbers.exponentiation.int_exp_of_exp
8	instantiation	56, 15, 16	⊢
	: , : , :
9	instantiation	56, 52, 22	⊢
	: , : , :
10	theorem		⊢
	proveit.logic.equality.sub_right_side_into
11	instantiation	37, 26, 17	⊢
	: , :
12	instantiation	18, 19, 20	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
14	instantiation	56, 21, 22	⊢
	: , : , :
15	instantiation	23, 24, 25	⊢
	: , :
16	assumption		⊢
17	instantiation	37, 32, 33	⊢
	: , :
18	axiom		⊢
	proveit.logic.equality.equals_transitivity
19	instantiation	27, 49, 58, 28, 31, 29, 26, 32, 33	⊢
	: , : , : , : , : , :
20	instantiation	27, 28, 58, 29, 30, 31, 38, 39, 32, 33	⊢
	: , : , : , : , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
23	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
24	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
25	instantiation	34, 35, 36	⊢
	: , :
26	instantiation	37, 38, 39	⊢
	: , :
27	theorem		⊢
	proveit.numbers.multiplication.disassociation
28	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
29	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
30	instantiation	40	⊢
	: , :
31	instantiation	40	⊢
	: , :
32	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
33	instantiation	56, 47, 41	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
35	instantiation	56, 42, 43	⊢
	: , : , :
36	instantiation	44, 45	⊢
	:
37	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
38	instantiation	56, 47, 46	⊢
	: , : , :
39	instantiation	56, 47, 48	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
41	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
42	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
43	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
44	theorem		⊢
	proveit.numbers.negation.int_closure
45	instantiation	56, 57, 49	⊢
	: , : , :
46	instantiation	56, 50, 51	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
48	instantiation	56, 52, 53	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
51	instantiation	56, 54, 55	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
53	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
54	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
55	instantiation	56, 57, 58	⊢
	: , : , :
56	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
57	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
58	theorem		⊢
	proveit.numbers.numerals.decimals.nat2