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	8	⊢
2	instantiation	8, 4, 5	,  ⊢
	: , : , :
3	instantiation	17, 6, 12*, 7*	,  ⊢
	: , : , :
4	instantiation	8, 9, 10	,  ⊢
	: , : , :
5	instantiation	17, 11, 20*, 12*	,  ⊢
	: , : , :
6	modus ponens	13, 14	,  ⊢
7	instantiation	28, 63	⊢
	: , :
8	axiom		⊢
	proveit.logic.equality.equals_transitivity
9	instantiation	17, 15, 16*, 19*	,  ⊢
	: , : , :
10	instantiation	17, 18, 19*, 20*	,  ⊢
	: , : , :
11	modus ponens	21, 22	,  ⊢
12	instantiation	28, 63	⊢
	: , :
13	instantiation	32, 33	⊢
	: , : , : , : , : , : , :
14	generalization	23	,  ⊢
15	modus ponens	24, 25	,  ⊢
16	instantiation	28, 63	⊢
	: , :
17	axiom		⊢
	proveit.logic.equality.substitution
18	modus ponens	26, 27	,  ⊢
19	instantiation	28, 63	⊢
	: , :
20	instantiation	28, 63	⊢
	: , :
21	instantiation	32, 33	⊢
	: , : , : , : , : , : , :
22	generalization	29	,  ⊢
23	instantiation	35, 64, 68, 40, 42, 41, 30, 45, 46	, ,  ⊢
	: , : , : , : , : , :
24	instantiation	32, 33	⊢
	: , : , : , : , : , : , :
25	generalization	31	,  ⊢
26	instantiation	32, 33	⊢
	: , : , : , : , : , : , :
27	generalization	34	,  ⊢
28	theorem		⊢
	proveit.core_expr_types.conditionals.satisfied_condition_reduction
29	instantiation	35, 40, 68, 41, 36, 42, 44, 43, 45, 46	, ,  ⊢
	: , : , : , : , : , :
30	instantiation	69, 51, 37	,  ⊢
	: , : , :
31	instantiation	39, 40, 68, 64, 41, 38, 44, 45, 43, 46	, ,  ⊢
	: , : , : , : , : , : , :
32	theorem		⊢
	proveit.core_expr_types.lambda_maps.general_lambda_substitution
33	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
34	instantiation	39, 40, 64, 68, 41, 42, 43, 44, 45, 46	, ,  ⊢
	: , : , : , : , : , : , :
35	theorem		⊢
	proveit.numbers.multiplication.association
36	instantiation	48	⊢
	: , :
37	instantiation	47, 50, 49	,  ⊢
	: , :
38	instantiation	48	⊢
	: , :
39	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
40	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
41	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
42	instantiation	48	⊢
	: , :
43	instantiation	69, 51, 49	⊢
	: , : , :
44	instantiation	69, 51, 50	⊢
	: , : , :
45	instantiation	69, 51, 54	⊢
	: , : , :
46	instantiation	69, 51, 52	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
48	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
49	assumption		⊢
50	assumption		⊢
51	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
52	instantiation	53, 54, 55	⊢
	: , :
53	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
54	instantiation	69, 57, 56	⊢
	: , : , :
55	instantiation	69, 57, 58	⊢
	: , : , :
56	instantiation	69, 60, 59	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
58	instantiation	69, 60, 61	⊢
	: , : , :
59	instantiation	69, 62, 63	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
61	instantiation	69, 70, 64	⊢
	: , : , :
62	instantiation	65, 66, 67	⊢
	: , :
63	assumption		⊢
64	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
65	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
66	instantiation	69, 70, 68	⊢
	: , : , :
67	instantiation	69, 70, 71	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
69	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
70	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
71	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
*equality replacement requirements