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	,  ⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	6, 11, 57, 50, 12, 7, 13, 9, 5	,  ⊢
	: , : , : , : , : , :
3	instantiation	6, 57, 11, 7, 8, 12, 13, 9, 14, 15	,  ⊢
	: , : , : , : , : , :
4	instantiation	10, 50, 11, 12, 13, 14, 15	,  ⊢
	: , : , : , : , : , : , : , :
5	instantiation	55, 26, 16	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.addition.disassociation
7	instantiation	17	⊢
	: , :
8	instantiation	17	⊢
	: , :
9	instantiation	55, 26, 18	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general_rev
11	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
12	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
13	instantiation	20, 19	⊢
	:
14	instantiation	55, 26, 24	⊢
	: , : , :
15	instantiation	20, 21	⊢
	:
16	instantiation	22, 24, 23	⊢
	: , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
18	instantiation	27, 24	⊢
	:
19	instantiation	55, 26, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.negation.complex_closure
21	instantiation	55, 26, 28	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
23	instantiation	27, 28	⊢
	:
24	instantiation	55, 31, 29	⊢
	: , : , :
25	instantiation	55, 31, 30	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
27	theorem		⊢
	proveit.numbers.negation.real_closure
28	instantiation	55, 31, 32	⊢
	: , : , :
29	instantiation	55, 35, 33	⊢
	: , : , :
30	instantiation	55, 35, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	55, 35, 46	⊢
	: , : , :
33	instantiation	55, 36, 37	⊢
	: , : , :
34	instantiation	55, 38, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
36	instantiation	43, 40, 49	⊢
	: , :
37	instantiation	41, 42	⊢
	: , :
38	instantiation	43, 46, 44	⊢
	: , :
39	assumption		⊢
40	instantiation	47, 45, 46	⊢
	: , :
41	theorem		⊢
	proveit.logic.booleans.conjunction.left_from_and
42	assumption		⊢
43	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
44	instantiation	47, 49, 48	⊢
	: , :
45	instantiation	51, 49	⊢
	:
46	instantiation	55, 56, 50	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
48	instantiation	51, 52	⊢
	:
49	instantiation	55, 53, 54	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
51	theorem		⊢
	proveit.numbers.negation.int_closure
52	instantiation	55, 56, 57	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
54	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
55	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
56	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
57	theorem		⊢
	proveit.numbers.numerals.decimals.nat2