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