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	47	⊢
	: , :
4	instantiation	47	⊢
	: , :
5	instantiation	47	⊢
	: , :
6	instantiation	12, 10, 11	⊢
	: , : , :
7	instantiation	12, 13, 14	⊢
	: , : , :
8	reference	11	⊢
9	reference	14	⊢
10	instantiation	72, 15, 71	⊢
	: , : , :
11	instantiation	43, 50, 40, 45	⊢
	: , : , :
12	theorem		⊢
	proveit.logic.equality.sub_left_side_into
13	instantiation	72, 15, 59	⊢
	: , : , :
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, 40, 50	⊢
	: , :
20	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
21	instantiation	27, 36, 37, 38, 28, 25, 40, 44, 26, 50	⊢
	: , : , : , : , : , :
22	instantiation	27, 37, 74, 28, 29, 40, 44, 34, 41, 50	⊢
	: , : , : , : , : , :
23	instantiation	30, 31, 32	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
25	instantiation	47	⊢
	: , :
26	instantiation	33, 34, 41	⊢
	: , :
27	theorem		⊢
	proveit.numbers.addition.disassociation
28	instantiation	47	⊢
	: , :
29	instantiation	47	⊢
	: , :
30	axiom		⊢
	proveit.logic.equality.equals_transitivity
31	instantiation	35, 36, 74, 37, 38, 39, 40, 44, 41, 50, 42	⊢
	: , : , : , : , : , : , : , :
32	instantiation	43, 50, 44, 45	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
34	instantiation	72, 55, 46	⊢
	: , : , :
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	47	⊢
	: , :
40	instantiation	72, 55, 48	⊢
	: , : , :
41	instantiation	49, 50	⊢
	:
42	instantiation	52	⊢
	:
43	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
44	instantiation	72, 55, 51	⊢
	: , : , :
45	instantiation	52	⊢
	:
46	instantiation	72, 53, 54	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
48	instantiation	57, 58, 71	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.negation.complex_closure
50	instantiation	72, 55, 56	⊢
	: , : , :
51	instantiation	57, 58, 59	⊢
	: , : , :
52	axiom		⊢
	proveit.logic.equality.equals_reflexivity
53	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
54	instantiation	72, 60, 61	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
56	instantiation	72, 62, 63	⊢
	: , : , :
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	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
63	instantiation	72, 68, 69	⊢
	: , : , :
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.number_sets.rational_numbers.int_within_rational
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
*equality replacement requirements