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	⊢
	: , : , : , :
1	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
3	instantiation	9	⊢
	: , : , : , : , :
4	instantiation	9	⊢
	: , : , : , : , :
5	instantiation	40, 41, 37, 43	⊢
	: , : , :
6	reference	29	⊢
7	instantiation	27, 10, 11	⊢
	: , : , :
8	instantiation	27, 12, 13	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
10	instantiation	14, 15	⊢
	: , : , :
11	instantiation	16, 17, 18, 19	⊢
	: , : , : , :
12	instantiation	24, 33, 34, 35, 25, 36, 37, 42, 38, 41	⊢
	: , : , : , : , : , :
13	instantiation	20, 34, 33, 25, 35, 37, 42, 41	⊢
	: , : , : , : , : , : , : , :
14	axiom		⊢
	proveit.logic.equality.substitution
15	instantiation	21, 37, 41	⊢
	: , :
16	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
17	instantiation	24, 33, 34, 35, 25, 22, 37, 42, 23, 41	⊢
	: , : , : , : , : , :
18	instantiation	24, 34, 74, 25, 26, 37, 42, 31, 38, 41	⊢
	: , : , : , : , : , :
19	instantiation	27, 28, 29	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general_rev
21	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
22	instantiation	45	⊢
	: , :
23	instantiation	30, 31, 38	⊢
	: , :
24	theorem		⊢
	proveit.numbers.addition.disassociation
25	instantiation	45	⊢
	: , :
26	instantiation	45	⊢
	: , :
27	axiom		⊢
	proveit.logic.equality.equals_transitivity
28	instantiation	32, 33, 74, 34, 35, 36, 37, 42, 38, 41, 39	⊢
	: , : , : , : , : , : , : , :
29	instantiation	40, 41, 42, 43	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
31	instantiation	72, 49, 44	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
33	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
35	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
36	instantiation	45	⊢
	: , :
37	instantiation	72, 49, 46	⊢
	: , : , :
38	instantiation	72, 49, 47	⊢
	: , : , :
39	instantiation	51	⊢
	:
40	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
41	instantiation	72, 49, 48	⊢
	: , : , :
42	instantiation	72, 49, 50	⊢
	: , : , :
43	instantiation	51	⊢
	:
44	instantiation	72, 52, 53	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
46	instantiation	57, 58, 71	⊢
	: , : , :
47	instantiation	72, 55, 54	⊢
	: , : , :
48	instantiation	72, 55, 56	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
50	instantiation	57, 58, 59	⊢
	: , : , :
51	axiom		⊢
	proveit.logic.equality.equals_reflexivity
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
53	instantiation	72, 60, 61	⊢
	: , : , :
54	instantiation	72, 63, 62	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
56	instantiation	72, 63, 69	⊢
	: , : , :
57	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
58	instantiation	64, 65	⊢
	: , :
59	axiom		⊢
	proveit.physics.quantum.QPE._s_in_nat_pos
60	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
61	instantiation	72, 66, 67	⊢
	: , : , :
62	instantiation	68, 69	⊢
	:
63	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
64	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
65	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
66	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
67	instantiation	70, 71	⊢
	:
68	theorem		⊢
	proveit.numbers.negation.int_closure
69	instantiation	72, 73, 74	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.negation.int_neg_closure
71	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
72	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
73	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
74	theorem		⊢
	proveit.numbers.numerals.decimals.nat1