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