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, 5, 6, 7	⊢
	: , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	45	⊢
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	8	⊢
	: , :
6	instantiation	43, 15, 9	⊢
	: , : , :
7	instantiation	10, 11, 12	⊢
	: , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
9	instantiation	43, 20, 13	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
11	instantiation	43, 15, 14	⊢
	: , : , :
12	instantiation	43, 15, 16	⊢
	: , : , :
13	instantiation	43, 17, 18	⊢
	: , : , :
14	instantiation	43, 20, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
16	instantiation	43, 20, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
18	instantiation	22, 23, 24	⊢
	: , :
19	instantiation	43, 26, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
21	instantiation	43, 26, 38	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
23	instantiation	43, 28, 27	⊢
	: , : , :
24	instantiation	43, 28, 29	⊢
	: , : , :
25	instantiation	43, 30, 31	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
28	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
29	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
30	instantiation	32, 33, 34	⊢
	: , :
31	assumption		⊢
32	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
33	instantiation	43, 44, 35	⊢
	: , : , :
34	instantiation	36, 37, 38	⊢
	: , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
36	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
37	instantiation	43, 39, 40	⊢
	: , : , :
38	instantiation	41, 42	⊢
	:
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
40	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
41	theorem		⊢
	proveit.numbers.negation.int_closure
42	instantiation	43, 44, 45	⊢
	: , : , :
43	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat2