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	⊢
	: , : , : , :
1	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
3	instantiation	8	⊢
	: , : , : , : , : , : , : , :
4	instantiation	8	⊢
	: , : , : , : , : , : , : , :
5	instantiation	35, 36, 40, 38	⊢
	: , : , :
6	reference	25	⊢
7	instantiation	23, 9, 10	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_8_typical_eq
9	instantiation	11, 12	⊢
	: , : , :
10	instantiation	13, 14, 15, 16	⊢
	: , : , : , :
11	axiom		⊢
	proveit.logic.equality.substitution
12	instantiation	17, 40, 36	⊢
	: , :
13	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
14	instantiation	20, 29, 30, 31, 21, 18, 40, 37, 19, 36	⊢
	: , : , : , : , : , :
15	instantiation	20, 30, 63, 21, 22, 40, 37, 27, 33, 36	⊢
	: , : , : , : , : , :
16	instantiation	23, 24, 25	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
18	instantiation	41	⊢
	: , :
19	instantiation	26, 27, 33	⊢
	: , :
20	theorem		⊢
	proveit.numbers.addition.disassociation
21	instantiation	41	⊢
	: , :
22	instantiation	41	⊢
	: , :
23	axiom		⊢
	proveit.logic.equality.equals_transitivity
24	instantiation	28, 29, 63, 30, 31, 32, 40, 37, 33, 36, 34	⊢
	: , : , : , : , : , : , : , :
25	instantiation	35, 36, 37, 38	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
27	instantiation	39, 40	⊢
	:
28	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
29	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
31	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
32	instantiation	41	⊢
	: , :
33	instantiation	61, 46, 42	⊢
	: , : , :
34	instantiation	45	⊢
	:
35	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
36	instantiation	61, 46, 43	⊢
	: , : , :
37	instantiation	61, 46, 44	⊢
	: , : , :
38	instantiation	45	⊢
	:
39	theorem		⊢
	proveit.numbers.negation.complex_closure
40	instantiation	61, 46, 47	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
42	instantiation	61, 49, 48	⊢
	: , : , :
43	instantiation	61, 49, 50	⊢
	: , : , :
44	instantiation	52, 53, 51	⊢
	: , : , :
45	axiom		⊢
	proveit.logic.equality.equals_reflexivity
46	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
47	instantiation	52, 53, 54	⊢
	: , : , :
48	instantiation	61, 56, 55	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
50	instantiation	61, 56, 60	⊢
	: , : , :
51	axiom		⊢
	proveit.physics.quantum.QPE._s_in_nat_pos
52	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
53	instantiation	57, 58	⊢
	: , :
54	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
55	instantiation	59, 60	⊢
	:
56	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
57	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
58	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
59	theorem		⊢
	proveit.numbers.negation.int_closure
60	instantiation	61, 62, 63	⊢
	: , : , :
61	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
62	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
63	theorem		⊢
	proveit.numbers.numerals.decimals.nat1