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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	5, 4	⊢
	: , : , :
3	instantiation	5, 6	⊢
	: , : , :
4	instantiation	8, 7	⊢
	:
5	axiom		⊢
	proveit.logic.equality.substitution
6	instantiation	8, 9	⊢
	:
7	instantiation	11, 10	⊢
	: , :
8	axiom		⊢
	proveit.logic.booleans.eq_true_intro
9	instantiation	11, 12	⊢
	: , :
10	instantiation	14, 57, 15, 13	⊢
	: , :
11	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
12	instantiation	14, 58, 15, 16	⊢
	: , :
13	instantiation	21, 45, 22, 17, 18, 19*, 20*	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
15	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
16	instantiation	21, 46, 22, 48, 23, 24*, 25*	⊢
	: , : , :
17	instantiation	59, 51, 26	⊢
	: , : , :
18	instantiation	30, 27	⊢
	:
19	instantiation	34, 28, 29	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_1
21	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
23	instantiation	30, 31	⊢
	:
24	instantiation	34, 32, 33	⊢
	: , : , :
25	instantiation	34, 35, 36	⊢
	: , : , :
26	instantiation	59, 55, 37	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
28	instantiation	39, 38	⊢
	:
29	instantiation	41, 38, 40	⊢
	: , :
30	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
31	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
32	instantiation	39, 42	⊢
	:
33	instantiation	41, 42, 40	⊢
	: , :
34	theorem		⊢
	proveit.logic.equality.sub_right_side_into
35	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_2
36	instantiation	41, 42, 43	⊢
	: , :
37	instantiation	59, 60, 44	⊢
	: , : , :
38	instantiation	59, 47, 45	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.addition.elim_zero_right
40	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
41	theorem		⊢
	proveit.numbers.addition.commutation
42	instantiation	59, 47, 46	⊢
	: , : , :
43	instantiation	59, 47, 48	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
45	instantiation	59, 51, 49	⊢
	: , : , :
46	instantiation	59, 51, 50	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
48	instantiation	59, 51, 52	⊢
	: , : , :
49	instantiation	59, 55, 53	⊢
	: , : , :
50	instantiation	59, 55, 54	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
52	instantiation	59, 55, 56	⊢
	: , : , :
53	instantiation	59, 60, 57	⊢
	: , : , :
54	instantiation	59, 60, 58	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
56	instantiation	59, 60, 61	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
58	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
59	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
60	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
61	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements