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, 4	,  ⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	28, 5	,  ⊢
	: , : , :
3	instantiation	28, 6	,  ⊢
	: , : , :
4	instantiation	30, 7, 53, 8*	,  ⊢
	: , :
5	instantiation	9, 61, 56, 36, 38, 37, 39, 40, 26, 41	,  ⊢
	: , : , : , : , : , : , :
6	instantiation	35, 36, 11, 56, 37, 12, 39, 40, 41, 26	,  ⊢
	: , : , : , : , : , :
7	instantiation	10, 11, 12, 51, 52, 49	,  ⊢
	: , :
8	instantiation	19, 13, 14	,  ⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.addition.rightward_commutation
10	theorem		⊢
	proveit.numbers.addition.add_real_closure
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
12	instantiation	15	⊢
	: , : , :
13	instantiation	28, 16	,  ⊢
	: , : , :
14	instantiation	19, 17, 18	,  ⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
16	instantiation	19, 20, 21	,  ⊢
	: , : , :
17	instantiation	22, 36, 61, 56, 37, 23, 25, 41, 26	,  ⊢
	: , : , : , : , : , :
18	instantiation	35, 56, 61, 36, 24, 37, 25, 41, 26, 27*	,  ⊢
	: , : , : , : , : , :
19	axiom		⊢
	proveit.logic.equality.equals_transitivity
20	instantiation	28, 29	,  ⊢
	: , : , :
21	instantiation	30, 45, 58	,  ⊢
	: , :
22	theorem		⊢
	proveit.numbers.addition.disassociation
23	instantiation	47	⊢
	: , :
24	instantiation	47	⊢
	: , :
25	instantiation	31, 32, 33	,  ⊢
	: , : , :
26	instantiation	59, 48, 34	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
28	axiom		⊢
	proveit.logic.equality.substitution
29	instantiation	35, 36, 61, 56, 37, 38, 39, 40, 41	,  ⊢
	: , : , : , : , : , :
30	theorem		⊢
	proveit.numbers.rounding.round_of_real_plus_int
31	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
32	instantiation	42, 43	⊢
	: , :
33	instantiation	44, 45	,  ⊢
	:
34	instantiation	59, 54, 46	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.addition.association
36	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
37	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
38	instantiation	47	⊢
	: , :
39	instantiation	59, 48, 51	⊢
	: , : , :
40	instantiation	59, 48, 52	⊢
	: , : , :
41	instantiation	59, 48, 49	⊢
	: , : , :
42	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.int_within_complex
44	axiom		⊢
	proveit.numbers.rounding.round_is_an_int
45	instantiation	50, 51, 52	,  ⊢
	: , :
46	instantiation	59, 57, 53	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
48	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
49	instantiation	59, 54, 55	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
51	assumption		⊢
52	assumption		⊢
53	instantiation	59, 60, 56	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
55	instantiation	59, 57, 58	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
57	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
58	instantiation	59, 60, 61	⊢
	: , : , :
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