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.addition.elim_zero_any
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	51	⊢
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	8	⊢
	: , :
6	instantiation	9, 10, 11	⊢
	: , :
7	instantiation	49, 39, 12	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
9	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
10	instantiation	13, 20, 14, 15	⊢
	: , :
11	instantiation	49, 39, 16	⊢
	: , : , :
12	instantiation	49, 17, 18	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.division.div_complex_closure
14	instantiation	19, 33, 20	⊢
	: , :
15	instantiation	21, 22, 23	⊢
	: , : , :
16	instantiation	24, 25, 26	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
18	instantiation	49, 27, 28	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
20	instantiation	49, 39, 29	⊢
	: , : , :
21	theorem		⊢
	proveit.logic.equality.sub_left_side_into
22	instantiation	30, 31	⊢
	:
23	instantiation	32, 33	⊢
	:
24	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
25	instantiation	34, 35	⊢
	: , :
26	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
28	instantiation	49, 36, 37	⊢
	: , : , :
29	instantiation	49, 44, 38	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
31	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
32	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
33	instantiation	49, 39, 40	⊢
	: , : , :
34	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
37	instantiation	41, 42	⊢
	:
38	instantiation	49, 47, 43	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
40	instantiation	49, 44, 45	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.negation.int_neg_closure
42	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
43	instantiation	49, 50, 46	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
45	instantiation	49, 47, 48	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
47	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
48	instantiation	49, 50, 51	⊢
	: , : , :
49	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
50	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
51	theorem		⊢
	proveit.numbers.numerals.decimals.nat2