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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	6, 4, 9, 7, 12, 10, 5, 15, 16, 17	, , , ,  ⊢
	: , : , : , : , : , :
3	instantiation	6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17	, , , ,  ⊢
	: , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
5	instantiation	37, 25, 18	,  ⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.multiplication.disassociation
7	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
10	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
11	instantiation	19	⊢
	: , :
12	instantiation	20	⊢
	: , : , :
13	instantiation	37, 25, 21	⊢
	: , : , :
14	instantiation	37, 25, 22	⊢
	: , : , :
15	instantiation	37, 25, 23	⊢
	: , : , :
16	instantiation	37, 25, 24	⊢
	: , : , :
17	instantiation	37, 25, 26	⊢
	: , : , :
18	instantiation	37, 32, 27	,  ⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
21	instantiation	37, 32, 28	⊢
	: , : , :
22	instantiation	37, 32, 29	⊢
	: , : , :
23	instantiation	37, 32, 30	⊢
	: , : , :
24	instantiation	37, 32, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	37, 32, 33	⊢
	: , : , :
27	instantiation	37, 38, 34	,  ⊢
	: , : , :
28	instantiation	37, 38, 41	⊢
	: , : , :
29	instantiation	37, 38, 42	⊢
	: , : , :
30	instantiation	37, 38, 35	⊢
	: , : , :
31	instantiation	37, 38, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	37, 38, 39	⊢
	: , : , :
34	instantiation	40, 41, 42	,  ⊢
	: , :
35	assumption		⊢
36	assumption		⊢
37	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	assumption		⊢
40	theorem		⊢
	proveit.numbers.multiplication.mult_int_closure_bin
41	assumption		⊢
42	assumption		⊢