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, 5, 40, 6, 7*, 8*	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
4	instantiation	58, 47, 9	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
6	instantiation	10, 11	⊢
	: , :
7	instantiation	22, 12, 13	⊢
	: , : , :
8	instantiation	14, 15, 16, 17	⊢
	: , : , : , :
9	instantiation	58, 52, 18	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.ordering.relax_less
11	instantiation	19, 60	⊢
	:
12	instantiation	28, 29, 57, 30, 31, 32, 20, 33, 36	⊢
	: , : , : , : , : , :
13	instantiation	21, 30, 57, 32, 31, 33, 36	⊢
	: , : , : , :
14	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
15	instantiation	22, 23, 24	⊢
	: , : , :
16	instantiation	43	⊢
	:
17	instantiation	25, 26	⊢
	: , :
18	instantiation	27, 49, 53	⊢
	: , :
19	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
21	theorem		⊢
	proveit.numbers.addition.elim_zero_any
22	axiom		⊢
	proveit.logic.equality.equals_transitivity
23	instantiation	28, 29, 57, 30, 31, 32, 35, 33, 36	⊢
	: , : , : , : , : , :
24	instantiation	34, 35, 36, 37	⊢
	: , : , :
25	theorem		⊢
	proveit.logic.equality.equals_reversal
26	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
27	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
28	theorem		⊢
	proveit.numbers.addition.disassociation
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
30	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
31	instantiation	38	⊢
	: , :
32	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
33	instantiation	58, 41, 39	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
35	instantiation	58, 41, 40	⊢
	: , : , :
36	instantiation	58, 41, 42	⊢
	: , : , :
37	instantiation	43	⊢
	:
38	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
39	instantiation	58, 47, 44	⊢
	: , : , :
40	instantiation	45, 46, 60	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
42	instantiation	58, 47, 48	⊢
	: , : , :
43	axiom		⊢
	proveit.logic.equality.equals_reflexivity
44	instantiation	58, 52, 49	⊢
	: , : , :
45	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
46	instantiation	50, 51	⊢
	: , :
47	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
48	instantiation	58, 52, 53	⊢
	: , : , :
49	instantiation	54, 55	⊢
	:
50	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
52	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
53	instantiation	58, 56, 57	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.negation.int_closure
55	instantiation	58, 59, 60	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
57	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
58	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
59	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
60	assumption		⊢
*equality replacement requirements