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