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	reference	45	⊢
2	reference	41	⊢
3	instantiation	45, 43, 4	⊢
	: , : , :
4	instantiation	45, 5, 6	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
6	instantiation	7, 19, 8, 9, 10	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.deci_sequence_is_nat_pos
8	instantiation	12, 19, 11	⊢
	:
9	instantiation	12, 47, 13	⊢
	:
10	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
11	instantiation	16, 14, 15	⊢
	: , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.n_in_digits
13	instantiation	16, 17, 18	⊢
	: , :
14	instantiation	29, 19	⊢
	:
15	instantiation	20, 21	⊢
	:
16	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
17	instantiation	29, 47	⊢
	:
18	instantiation	22, 40, 23, 24, 25, 26*, 27*	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
20	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
21	theorem		⊢
	proveit.numbers.numerals.decimals.posnat9
22	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
24	instantiation	45, 41, 28	⊢
	: , : , :
25	instantiation	29, 38	⊢
	:
26	instantiation	30, 31, 32	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_5
28	instantiation	45, 43, 33	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
30	theorem		⊢
	proveit.logic.equality.sub_right_side_into
31	instantiation	34, 36	⊢
	:
32	instantiation	35, 36, 37	⊢
	: , :
33	instantiation	45, 46, 38	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.addition.elim_zero_right
35	theorem		⊢
	proveit.numbers.addition.commutation
36	instantiation	45, 39, 40	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
39	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
40	instantiation	45, 41, 42	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
42	instantiation	45, 43, 44	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
44	instantiation	45, 46, 47	⊢
	: , : , :
45	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
46	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
*equality replacement requirements