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	reference	7	⊢
2	instantiation	17, 5	⊢
	: , : , :
3	instantiation	10, 6	⊢
	: , :
4	instantiation	7, 8, 9	⊢
	: , : , :
5	instantiation	10, 11	⊢
	: , :
6	instantiation	12, 13, 55, 45, 14, 15, 26, 16, 21	⊢
	: , : , : , : , : , :
7	axiom		⊢
	proveit.logic.equality.equals_transitivity
8	instantiation	17, 18	⊢
	: , : , :
9	instantiation	19, 21	⊢
	:
10	theorem		⊢
	proveit.logic.equality.equals_reversal
11	instantiation	20, 21	⊢
	:
12	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
13	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
14	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
15	instantiation	22	⊢
	: , :
16	instantiation	53, 31, 23	⊢
	: , : , :
17	axiom		⊢
	proveit.logic.equality.substitution
18	instantiation	24, 25, 26, 27	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
20	theorem		⊢
	proveit.numbers.negation.mult_neg_one_left
21	instantiation	53, 31, 28	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
23	instantiation	53, 36, 29	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
25	instantiation	53, 31, 30	⊢
	: , : , :
26	instantiation	53, 31, 32	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
28	instantiation	53, 36, 33	⊢
	: , : , :
29	instantiation	53, 39, 34	⊢
	: , : , :
30	instantiation	53, 36, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
32	instantiation	53, 36, 37	⊢
	: , : , :
33	instantiation	53, 39, 38	⊢
	: , : , :
34	instantiation	51, 43	⊢
	:
35	instantiation	53, 39, 43	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
37	instantiation	53, 39, 52	⊢
	: , : , :
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
*equality replacement requirements