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	⊢
	: , :
1	reference	9	⊢
2	instantiation	3, 4, 5, 6	⊢
	: , : , : , :
3	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
4	instantiation	7, 30, 32	⊢
	: , :
5	instantiation	8	⊢
	:
6	instantiation	9, 10	⊢
	: , :
7	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
8	axiom		⊢
	proveit.logic.equality.equals_reflexivity
9	theorem		⊢
	proveit.logic.equality.equals_reversal
10	instantiation	15, 11, 12	⊢
	: , : , :
11	instantiation	13, 14	⊢
	: , : , :
12	instantiation	15, 16, 17	⊢
	: , : , :
13	axiom		⊢
	proveit.logic.equality.substitution
14	instantiation	18, 19	⊢
	:
15	axiom		⊢
	proveit.logic.equality.equals_transitivity
16	instantiation	20, 47, 57, 23, 25, 24, 21, 26, 27	⊢
	: , : , : , : , : , :
17	instantiation	22, 23, 57, 24, 25, 26, 27	⊢
	: , : , : , :
18	theorem		⊢
	proveit.numbers.multiplication.mult_zero_right
19	instantiation	55, 35, 28	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.addition.disassociation
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
22	theorem		⊢
	proveit.numbers.addition.elim_zero_any
23	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
24	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
25	instantiation	29	⊢
	: , :
26	instantiation	31, 30	⊢
	:
27	instantiation	31, 32	⊢
	:
28	instantiation	55, 38, 33	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
30	instantiation	55, 35, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.negation.complex_closure
32	instantiation	55, 35, 36	⊢
	: , : , :
33	instantiation	55, 41, 54	⊢
	: , : , :
34	instantiation	55, 38, 37	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
36	instantiation	55, 38, 39	⊢
	: , : , :
37	instantiation	55, 41, 40	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
39	instantiation	55, 41, 45	⊢
	: , : , :
40	instantiation	55, 42, 43	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
42	instantiation	44, 45, 46	⊢
	: , :
43	assumption		⊢
44	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
45	instantiation	55, 56, 47	⊢
	: , : , :
46	instantiation	48, 49, 50	⊢
	: , :
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
48	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
49	instantiation	55, 51, 52	⊢
	: , : , :
50	instantiation	53, 54	⊢
	:
51	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
52	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
53	theorem		⊢
	proveit.numbers.negation.int_closure
54	instantiation	55, 56, 57	⊢
	: , : , :
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.nat2