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	⊢
	: , :
1	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
2	instantiation	3, 24, 4, 25, 5, 6*, 7*	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
4	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
5	instantiation	8, 48	⊢
	:
6	instantiation	27, 9, 10	⊢
	: , : , :
7	instantiation	11, 12, 13, 14	⊢
	: , : , : , :
8	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
9	instantiation	15, 16	⊢
	:
10	instantiation	36, 16, 17	⊢
	: , :
11	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
12	instantiation	34, 37, 18, 19, 20	⊢
	: , : , :
13	instantiation	21	⊢
	:
14	instantiation	22, 23	⊢
	: , :
15	theorem		⊢
	proveit.numbers.addition.elim_zero_right
16	instantiation	61, 51, 24	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
18	instantiation	61, 51, 25	⊢
	: , : , :
19	instantiation	61, 51, 26	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_3
21	axiom		⊢
	proveit.logic.equality.equals_reflexivity
22	theorem		⊢
	proveit.logic.equality.equals_reversal
23	instantiation	27, 28, 29	⊢
	: , : , :
24	instantiation	61, 30, 31	⊢
	: , : , :
25	instantiation	61, 56, 32	⊢
	: , : , :
26	instantiation	61, 56, 33	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.equality.sub_right_side_into
28	instantiation	34, 37, 45, 35	⊢
	: , : , :
29	instantiation	36, 37, 38	⊢
	: , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
31	instantiation	61, 39, 40	⊢
	: , : , :
32	instantiation	61, 59, 41	⊢
	: , : , :
33	instantiation	61, 59, 42	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
35	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
36	theorem		⊢
	proveit.numbers.addition.commutation
37	instantiation	61, 51, 43	⊢
	: , : , :
38	instantiation	44, 45	⊢
	:
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
40	instantiation	61, 46, 47	⊢
	: , : , :
41	instantiation	61, 62, 48	⊢
	: , : , :
42	instantiation	61, 62, 49	⊢
	: , : , :
43	instantiation	61, 56, 50	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.negation.complex_closure
45	instantiation	61, 51, 52	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
47	instantiation	53, 54	⊢
	:
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
50	instantiation	61, 59, 55	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
52	instantiation	61, 56, 57	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.negation.int_neg_closure
54	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
55	instantiation	61, 62, 58	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
57	instantiation	61, 59, 60	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
59	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
60	instantiation	61, 62, 63	⊢
	: , : , :
61	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
62	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
63	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements