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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 36, 46, 5, 6, 7, 14, 10, 8	,  ⊢
	: , : , : , : , : , :
3	instantiation	9, 14, 10, 11	,  ⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.disassociation
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	instantiation	12	⊢
	: , :
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	13, 14	,  ⊢
	:
9	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
10	instantiation	44, 17, 15	⊢
	: , : , :
11	instantiation	16	⊢
	:
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
13	theorem		⊢
	proveit.numbers.negation.complex_closure
14	instantiation	44, 17, 18	,  ⊢
	: , : , :
15	instantiation	44, 20, 19	⊢
	: , : , :
16	axiom		⊢
	proveit.logic.equality.equals_reflexivity
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
18	instantiation	44, 20, 21	,  ⊢
	: , : , :
19	instantiation	44, 22, 30	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
21	instantiation	44, 22, 23	,  ⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
23	instantiation	44, 24, 25	,  ⊢
	: , : , :
24	instantiation	33, 26, 27	⊢
	: , :
25	assumption		⊢
26	instantiation	37, 28, 34	⊢
	: , :
27	instantiation	42, 29	⊢
	:
28	instantiation	42, 38	⊢
	:
29	instantiation	37, 30, 34	⊢
	: , :
30	instantiation	44, 31, 32	⊢
	: , : , :
31	instantiation	33, 34, 35	⊢
	: , :
32	assumption		⊢
33	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
34	instantiation	44, 45, 36	⊢
	: , : , :
35	instantiation	37, 38, 39	⊢
	: , :
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
37	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
38	instantiation	44, 40, 41	⊢
	: , : , :
39	instantiation	42, 43	⊢
	:
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
41	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
42	theorem		⊢
	proveit.numbers.negation.int_closure
43	instantiation	44, 45, 46	⊢
	: , : , :
44	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
45	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat2