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*, 9*	⊢
	: , : , : , :
1	theorem		⊢
	proveit.core_expr_types.tuples.general_len
2	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
3	instantiation	48	⊢
	: , :
4	instantiation	48	⊢
	: , :
5	instantiation	48	⊢
	: , :
6	instantiation	12, 10, 11	⊢
	: , : , :
7	instantiation	12, 13, 14	⊢
	: , : , :
8	reference	11	⊢
9	reference	14	⊢
10	instantiation	68, 15, 61	⊢
	: , : , :
11	instantiation	42, 43, 47, 45	⊢
	: , : , :
12	theorem		⊢
	proveit.logic.equality.sub_left_side_into
13	instantiation	68, 15, 58	⊢
	: , : , :
14	instantiation	30, 16, 17	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
16	instantiation	18, 19	⊢
	: , : , :
17	instantiation	20, 21, 22, 23	⊢
	: , : , : , :
18	axiom		⊢
	proveit.logic.equality.substitution
19	instantiation	24, 47, 43	⊢
	: , :
20	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
21	instantiation	27, 36, 37, 38, 28, 25, 47, 44, 26, 43	⊢
	: , : , : , : , : , :
22	instantiation	27, 37, 70, 28, 29, 47, 44, 34, 40, 43	⊢
	: , : , : , : , : , :
23	instantiation	30, 31, 32	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
25	instantiation	48	⊢
	: , :
26	instantiation	33, 34, 40	⊢
	: , :
27	theorem		⊢
	proveit.numbers.addition.disassociation
28	instantiation	48	⊢
	: , :
29	instantiation	48	⊢
	: , :
30	axiom		⊢
	proveit.logic.equality.equals_transitivity
31	instantiation	35, 36, 70, 37, 38, 39, 47, 44, 40, 43, 41	⊢
	: , : , : , : , : , : , : , :
32	instantiation	42, 43, 44, 45	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
34	instantiation	46, 47	⊢
	:
35	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
36	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
38	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
39	instantiation	48	⊢
	: , :
40	instantiation	68, 53, 49	⊢
	: , : , :
41	instantiation	52	⊢
	:
42	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
43	instantiation	68, 53, 50	⊢
	: , : , :
44	instantiation	68, 53, 51	⊢
	: , : , :
45	instantiation	52	⊢
	:
46	theorem		⊢
	proveit.numbers.negation.complex_closure
47	instantiation	68, 53, 54	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
49	instantiation	68, 56, 55	⊢
	: , : , :
50	instantiation	68, 56, 57	⊢
	: , : , :
51	instantiation	59, 60, 58	⊢
	: , : , :
52	axiom		⊢
	proveit.logic.equality.equals_reflexivity
53	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
54	instantiation	59, 60, 61	⊢
	: , : , :
55	instantiation	68, 63, 62	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
57	instantiation	68, 63, 67	⊢
	: , : , :
58	axiom		⊢
	proveit.physics.quantum.QPE._s_in_nat_pos
59	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
60	instantiation	64, 65	⊢
	: , :
61	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
62	instantiation	66, 67	⊢
	:
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.negation.int_closure
67	instantiation	68, 69, 70	⊢
	: , : , :
68	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
69	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
70	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements