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