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	reference	6	⊢
2	instantiation	4, 5	⊢
	: , : , :
3	instantiation	6, 7, 8	⊢
	: , : , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	9, 23, 16	⊢
	: , :
6	axiom		⊢
	proveit.logic.equality.equals_transitivity
7	instantiation	10, 11, 49, 39, 12, 13, 17, 14, 16	⊢
	: , : , : , : , : , :
8	instantiation	15, 16, 17, 18	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
10	theorem		⊢
	proveit.numbers.addition.disassociation
11	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
12	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
13	instantiation	19	⊢
	: , :
14	instantiation	47, 27, 20	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
16	instantiation	47, 27, 21	⊢
	: , : , :
17	instantiation	22, 23	⊢
	:
18	instantiation	24	⊢
	:
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
20	instantiation	47, 30, 25	⊢
	: , : , :
21	instantiation	47, 30, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.negation.complex_closure
23	instantiation	47, 27, 28	⊢
	: , : , :
24	axiom		⊢
	proveit.logic.equality.equals_reflexivity
25	instantiation	47, 32, 29	⊢
	: , : , :
26	instantiation	47, 32, 37	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
28	instantiation	47, 30, 31	⊢
	: , : , :
29	instantiation	45, 37	⊢
	:
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	47, 32, 33	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	instantiation	47, 34, 35	⊢
	: , : , :
34	instantiation	36, 37, 38	⊢
	: , :
35	assumption		⊢
36	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
37	instantiation	47, 48, 39	⊢
	: , : , :
38	instantiation	40, 41, 42	⊢
	: , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
40	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
41	instantiation	47, 43, 44	⊢
	: , : , :
42	instantiation	45, 46	⊢
	:
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
44	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
45	theorem		⊢
	proveit.numbers.negation.int_closure
46	instantiation	47, 48, 49	⊢
	: , : , :
47	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
48	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat2