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, 4, 37, 51, 5, 6*, 7*	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
4	instantiation	74, 60, 8	⊢
	: , : , :
5	instantiation	9, 76	⊢
	:
6	instantiation	10, 11, 12, 13	⊢
	: , : , : , :
7	instantiation	32, 14, 15	⊢
	: , : , :
8	instantiation	74, 66, 16	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
10	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
11	instantiation	32, 17, 18	⊢
	: , : , :
12	instantiation	19, 36, 44, 45, 20	⊢
	: , : , :
13	instantiation	54	⊢
	:
14	instantiation	38, 63, 73, 39, 21, 41, 44, 42, 30	⊢
	: , : , : , : , : , :
15	instantiation	43, 44, 30, 46	⊢
	: , : , :
16	instantiation	67, 68, 56	⊢
	: , :
17	instantiation	38, 63, 73, 39, 21, 41, 30, 42	⊢
	: , : , : , : , : , :
18	instantiation	32, 22, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
20	instantiation	24, 25, 26	⊢
	: , : , :
21	instantiation	49	⊢
	: , :
22	instantiation	27, 63, 39, 41, 30, 42	⊢
	: , : , : , : , : , : , :
23	instantiation	28, 39, 73, 63, 41, 29, 30, 42, 31*	⊢
	: , : , : , : , : , :
24	theorem		⊢
	proveit.logic.equality.sub_right_side_into
25	instantiation	32, 33, 34	⊢
	: , : , :
26	instantiation	35, 44, 36	⊢
	: , :
27	theorem		⊢
	proveit.numbers.addition.leftward_commutation
28	theorem		⊢
	proveit.numbers.addition.association
29	instantiation	49	⊢
	: , :
30	instantiation	74, 52, 37	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
32	axiom		⊢
	proveit.logic.equality.equals_transitivity
33	instantiation	38, 63, 73, 39, 40, 41, 44, 42, 45	⊢
	: , : , : , : , : , :
34	instantiation	43, 44, 45, 46	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.addition.commutation
36	instantiation	74, 52, 47	⊢
	: , : , :
37	instantiation	74, 60, 48	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.addition.disassociation
39	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
40	instantiation	49	⊢
	: , :
41	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
42	instantiation	74, 52, 50	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
44	instantiation	74, 52, 51	⊢
	: , : , :
45	instantiation	74, 52, 53	⊢
	: , : , :
46	instantiation	54	⊢
	:
47	instantiation	74, 60, 55	⊢
	: , : , :
48	instantiation	74, 66, 56	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
50	instantiation	74, 60, 57	⊢
	: , : , :
51	instantiation	58, 59, 76	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
53	instantiation	74, 60, 61	⊢
	: , : , :
54	axiom		⊢
	proveit.logic.equality.equals_reflexivity
55	instantiation	74, 66, 62	⊢
	: , : , :
56	instantiation	74, 72, 63	⊢
	: , : , :
57	instantiation	74, 66, 68	⊢
	: , : , :
58	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
59	instantiation	64, 65	⊢
	: , :
60	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
61	instantiation	74, 66, 69	⊢
	: , : , :
62	instantiation	67, 68, 69	⊢
	: , :
63	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
64	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
65	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
66	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
67	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
68	instantiation	70, 71	⊢
	:
69	instantiation	74, 72, 73	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.negation.int_closure
71	instantiation	74, 75, 76	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
73	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
74	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
75	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
76	assumption		⊢
*equality replacement requirements