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	70	⊢
2	instantiation	4, 5, 6, 7, 8, 9, 10	⊢
	: , : , : , :
3	instantiation	70, 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	70, 14, 15	⊢
	: , : , :
9	instantiation	16, 60, 63, 17	⊢
	: , : , :
10	instantiation	16, 60, 67, 17	⊢
	: , : , :
11	instantiation	24, 56, 57, 18, 58, 28, 19, 63, 67	⊢
	: , : , : , : , : , :
12	instantiation	20, 21, 22, 23	⊢
	: , : , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
14	instantiation	24, 56, 57, 58, 28, 25, 63, 67, 26, 60	⊢
	: , : , : , : , : , :
15	instantiation	27, 57, 56, 28, 58, 63, 67, 60	⊢
	: , : , : , : , : , : , : , :
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	70, 31, 32	⊢
	: , : , :
22	instantiation	55, 56, 83, 58, 33, 35, 63, 67, 34*	⊢
	: , : , : , : , : , :
23	instantiation	55, 93, 83, 56, 35, 58, 36, 67, 37*	⊢
	: , : , : , : , : , :
24	theorem		⊢
	proveit.numbers.addition.disassociation
25	instantiation	68	⊢
	: , :
26	instantiation	91, 76, 38	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general_rev
28	instantiation	68	⊢
	: , :
29	axiom		⊢
	proveit.logic.equality.equals_reflexivity
30	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
31	instantiation	40, 93, 83, 39, 63, 67	⊢
	: , : , : , : , : , : , :
32	instantiation	40, 57, 93, 41, 42, 63, 67	⊢
	: , : , : , : , : , : , :
33	instantiation	65	⊢
	: , : , :
34	instantiation	46, 43, 48*	⊢
	: , :
35	instantiation	65	⊢
	: , : , :
36	instantiation	44, 45, 63	⊢
	: , :
37	instantiation	46, 47, 48*	⊢
	: , :
38	instantiation	91, 78, 49	⊢
	: , : , :
39	instantiation	65	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.addition.leftward_commutation
41	instantiation	68	⊢
	: , :
42	instantiation	68	⊢
	: , :
43	instantiation	52, 56, 83, 93, 58, 53, 60, 63, 50*	⊢
	: , : , : , : , : , :
44	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
45	instantiation	91, 76, 51	⊢
	: , : , :
46	theorem		⊢
	proveit.logic.equality.equals_reversal
47	instantiation	52, 56, 83, 93, 58, 53, 60, 67, 54*	⊢
	: , : , : , : , : , :
48	instantiation	55, 56, 57, 93, 58, 59, 60, 61*	⊢
	: , : , : , : , : , :
49	instantiation	91, 87, 62	⊢
	: , : , :
50	instantiation	66, 63	⊢
	:
51	instantiation	91, 78, 64	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
53	instantiation	65	⊢
	: , : , :
54	instantiation	66, 67	⊢
	:
55	theorem		⊢
	proveit.numbers.addition.association
56	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
57	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
58	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
59	instantiation	68	⊢
	: , :
60	instantiation	91, 76, 69	⊢
	: , : , :
61	instantiation	70, 71, 72	⊢
	: , : , :
62	instantiation	73, 88	⊢
	:
63	instantiation	91, 76, 74	⊢
	: , : , :
64	instantiation	91, 87, 75	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
66	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
67	instantiation	91, 76, 77	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
69	instantiation	91, 78, 79	⊢
	: , : , :
70	axiom		⊢
	proveit.logic.equality.equals_transitivity
71	instantiation	80, 81	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
73	theorem		⊢
	proveit.numbers.negation.int_closure
74	instantiation	84, 85, 82	⊢
	: , : , :
75	instantiation	91, 92, 83	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
77	instantiation	84, 85, 86	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
79	instantiation	91, 87, 88	⊢
	: , : , :
80	axiom		⊢
	proveit.logic.equality.substitution
81	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
82	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
83	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
84	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
85	instantiation	89, 90	⊢
	: , :
86	axiom		⊢
	proveit.physics.quantum.QPE._s_in_nat_pos
87	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
88	instantiation	91, 92, 93	⊢
	: , : , :
89	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
90	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
91	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
92	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
93	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements