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