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