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	68	⊢
2	instantiation	4, 5, 6, 7, 8, 9, 10	⊢
	: , : , : , :
3	instantiation	68, 11, 12	⊢
	: , : , :
4	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
6	instantiation	13	⊢
	: , : , : , : , :
7	instantiation	13	⊢
	: , : , : , : , :
8	instantiation	68, 14, 15	⊢
	: , : , :
9	instantiation	16, 59, 61, 17	⊢
	: , : , :
10	instantiation	16, 59, 65, 17	⊢
	: , : , :
11	instantiation	24, 55, 56, 18, 57, 28, 19, 61, 65	⊢
	: , : , : , : , : , :
12	instantiation	20, 21, 22, 23	⊢
	: , : , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
14	instantiation	24, 55, 56, 57, 28, 25, 61, 65, 26, 59	⊢
	: , : , : , : , : , :
15	instantiation	27, 56, 55, 28, 57, 61, 65, 59	⊢
	: , : , : , : , : , : , : , :
16	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
17	instantiation	29	⊢
	:
18	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
19	instantiation	30	⊢
	: , : , : , :
20	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
21	instantiation	68, 31, 32	⊢
	: , : , :
22	instantiation	54, 55, 80, 57, 33, 35, 61, 65, 34*	⊢
	: , : , : , : , : , :
23	instantiation	54, 90, 80, 55, 35, 57, 36, 65, 37*	⊢
	: , : , : , : , : , :
24	theorem		⊢
	proveit.numbers.addition.disassociation
25	instantiation	66	⊢
	: , :
26	instantiation	38, 59	⊢
	:
27	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general_rev
28	instantiation	66	⊢
	: , :
29	axiom		⊢
	proveit.logic.equality.equals_reflexivity
30	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
31	instantiation	40, 90, 80, 39, 61, 65	⊢
	: , : , : , : , : , : , :
32	instantiation	40, 56, 90, 41, 42, 61, 65	⊢
	: , : , : , : , : , : , :
33	instantiation	63	⊢
	: , : , :
34	instantiation	46, 43, 48*	⊢
	: , :
35	instantiation	63	⊢
	: , : , :
36	instantiation	44, 45, 61	⊢
	: , :
37	instantiation	46, 47, 48*	⊢
	: , :
38	theorem		⊢
	proveit.numbers.negation.complex_closure
39	instantiation	63	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.addition.leftward_commutation
41	instantiation	66	⊢
	: , :
42	instantiation	66	⊢
	: , :
43	instantiation	51, 55, 80, 90, 57, 52, 59, 61, 49*	⊢
	: , : , : , : , : , :
44	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
45	instantiation	88, 73, 50	⊢
	: , : , :
46	theorem		⊢
	proveit.logic.equality.equals_reversal
47	instantiation	51, 55, 80, 90, 57, 52, 59, 65, 53*	⊢
	: , : , : , : , : , :
48	instantiation	54, 55, 56, 90, 57, 58, 59, 60*	⊢
	: , : , : , : , : , :
49	instantiation	64, 61	⊢
	:
50	instantiation	88, 75, 62	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
52	instantiation	63	⊢
	: , : , :
53	instantiation	64, 65	⊢
	:
54	theorem		⊢
	proveit.numbers.addition.association
55	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
57	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
58	instantiation	66	⊢
	: , :
59	instantiation	88, 73, 67	⊢
	: , : , :
60	instantiation	68, 69, 70	⊢
	: , : , :
61	instantiation	88, 73, 71	⊢
	: , : , :
62	instantiation	88, 84, 72	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
64	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
65	instantiation	88, 73, 74	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
67	instantiation	88, 75, 76	⊢
	: , : , :
68	axiom		⊢
	proveit.logic.equality.equals_transitivity
69	instantiation	77, 78	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
71	instantiation	81, 82, 79	⊢
	: , : , :
72	instantiation	88, 89, 80	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
74	instantiation	81, 82, 83	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
76	instantiation	88, 84, 85	⊢
	: , : , :
77	axiom		⊢
	proveit.logic.equality.substitution
78	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
79	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
80	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
81	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
82	instantiation	86, 87	⊢
	: , :
83	axiom		⊢
	proveit.physics.quantum.QPE._s_in_nat_pos
84	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
85	instantiation	88, 89, 90	⊢
	: , : , :
86	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
87	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
88	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
89	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
90	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements