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	reference	41	⊢
2	instantiation	4, 5, 6, 7	, ,  ⊢
	: , : , : , :
3	instantiation	28, 29, 25, 16, 31, 8, 9, 37, 18, 19, 10*	, ,  ⊢
	: , : , : , : , : , :
4	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
5	instantiation	15, 52, 30, 25, 11, 12, 37, 18, 19	, ,  ⊢
	: , : , : , : , : , : , :
6	instantiation	15, 30, 25, 52, 13, 14, 37, 18, 19	, ,  ⊢
	: , : , : , : , : , : , :
7	instantiation	15, 16, 52, 17, 37, 18, 19	, ,  ⊢
	: , : , : , : , : , : , :
8	instantiation	35	⊢
	: , : , :
9	instantiation	23	⊢
	: , : , : , :
10	instantiation	20, 21, 22*	⊢
	: , :
11	instantiation	38	⊢
	: , :
12	instantiation	35	⊢
	: , : , :
13	instantiation	38	⊢
	: , :
14	instantiation	35	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.addition.leftward_commutation
16	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
17	instantiation	23	⊢
	: , : , : , :
18	assumption		⊢
19	assumption		⊢
20	theorem		⊢
	proveit.logic.equality.equals_reversal
21	instantiation	24, 29, 25, 52, 31, 26, 33, 37, 27*	⊢
	: , : , : , : , : , :
22	instantiation	28, 29, 30, 52, 31, 32, 33, 34*	⊢
	: , : , : , : , : , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
24	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
26	instantiation	35	⊢
	: , : , :
27	instantiation	36, 37	⊢
	:
28	theorem		⊢
	proveit.numbers.addition.association
29	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
31	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
32	instantiation	38	⊢
	: , :
33	instantiation	50, 39, 40	⊢
	: , : , :
34	instantiation	41, 42, 43	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
36	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
37	assumption		⊢
38	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
39	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
40	instantiation	50, 44, 45	⊢
	: , : , :
41	axiom		⊢
	proveit.logic.equality.equals_transitivity
42	instantiation	46, 47	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
45	instantiation	50, 48, 49	⊢
	: , : , :
46	axiom		⊢
	proveit.logic.equality.substitution
47	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
48	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
49	instantiation	50, 51, 52	⊢
	: , : , :
50	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
51	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
52	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements