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, 4, 5, 6, 7, 8, 9	⊢
	: , : , : , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	61	⊢
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	10	⊢
	: , :
6	instantiation	59, 44, 11	⊢
	: , : , :
7	instantiation	12, 13	⊢
	:
8	reference	27	⊢
9	instantiation	14	⊢
	:
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	59, 52, 15	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.negation.complex_closure
13	instantiation	16, 17, 18	⊢
	: , :
14	axiom		⊢
	proveit.logic.equality.equals_reflexivity
15	instantiation	59, 57, 19	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
17	instantiation	20, 27, 21, 22	⊢
	: , :
18	instantiation	59, 44, 23	⊢
	: , : , :
19	instantiation	59, 24, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.division.div_complex_closure
21	instantiation	26, 38, 27	⊢
	: , :
22	instantiation	28, 29, 30	⊢
	: , : , :
23	instantiation	59, 52, 31	⊢
	: , : , :
24	instantiation	32, 51, 33	⊢
	: , :
25	assumption		⊢
26	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
27	instantiation	59, 44, 34	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.equality.sub_left_side_into
29	instantiation	35, 36	⊢
	:
30	instantiation	37, 38	⊢
	:
31	instantiation	59, 57, 39	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
33	instantiation	40, 41, 42	⊢
	: , :
34	instantiation	59, 52, 43	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
36	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
37	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
38	instantiation	59, 44, 45	⊢
	: , : , :
39	instantiation	46, 58, 47	⊢
	: , :
40	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
41	instantiation	59, 48, 49	⊢
	: , : , :
42	instantiation	50, 58	⊢
	:
43	instantiation	59, 57, 51	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
45	instantiation	59, 52, 53	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
47	instantiation	59, 54, 55	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
49	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
50	theorem		⊢
	proveit.numbers.negation.int_closure
51	instantiation	59, 60, 56	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
53	instantiation	59, 57, 58	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
55	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
57	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
58	instantiation	59, 60, 61	⊢
	: , : , :
59	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
60	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
61	theorem		⊢
	proveit.numbers.numerals.decimals.nat2