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	4, 5	⊢
	: , : , :
3	instantiation	6, 7	⊢
	: , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	8, 9, 10	⊢
	: , :
6	theorem		⊢
	proveit.logic.equality.equals_reversal
7	instantiation	11, 12, 13, 14	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.addition.commutation
9	instantiation	38, 17, 15	⊢
	: , : , :
10	instantiation	38, 17, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.exponentiation.product_of_pos_powers
12	instantiation	38, 17, 18	⊢
	: , : , :
13	instantiation	38, 19, 29	⊢
	: , : , :
14	instantiation	38, 19, 24	⊢
	: , : , :
15	instantiation	38, 22, 20	⊢
	: , : , :
16	instantiation	38, 22, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
18	instantiation	38, 22, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
20	instantiation	38, 25, 24	⊢
	: , : , :
21	instantiation	38, 25, 29	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	38, 26, 27	⊢
	: , : , :
24	instantiation	28, 29, 30	⊢
	: , :
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	instantiation	38, 31, 32	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.multiplication.mult_rational_pos_closure_bin
29	instantiation	33, 34, 35	⊢
	: , :
30	instantiation	38, 39, 36	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
33	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
34	instantiation	38, 39, 37	⊢
	: , : , :
35	instantiation	38, 39, 40	⊢
	: , : , :
36	assumption		⊢
37	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
38	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
40	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2