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, 5*, 6*	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.division.frac_cancel_left
2	instantiation	45, 8, 7	⊢
	: , : , :
3	instantiation	45, 8, 9	⊢
	: , : , :
4	reference	12	⊢
5	instantiation	10, 17	⊢
	:
6	instantiation	11, 12	⊢
	:
7	instantiation	45, 14, 13	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
9	instantiation	45, 14, 15	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
11	theorem		⊢
	proveit.numbers.division.frac_one_denom
12	instantiation	16, 17, 18	⊢
	: , :
13	instantiation	45, 20, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
15	instantiation	45, 20, 21	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
17	instantiation	45, 23, 22	⊢
	: , : , :
18	instantiation	45, 23, 24	⊢
	: , : , :
19	instantiation	45, 26, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
21	instantiation	45, 26, 27	⊢
	: , : , :
22	instantiation	45, 36, 28	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	instantiation	29, 30, 31	⊢
	: , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
26	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
28	instantiation	45, 41, 32	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
30	instantiation	33, 34, 35	⊢
	: , : , :
31	instantiation	45, 36, 37	⊢
	: , : , :
32	instantiation	45, 46, 38	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
34	instantiation	39, 40	⊢
	: , :
35	assumption		⊢
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
37	instantiation	45, 41, 42	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
39	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
41	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
42	instantiation	43, 44	⊢
	:
43	theorem		⊢
	proveit.numbers.negation.int_closure
44	instantiation	45, 46, 47	⊢
	: , : , :
45	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
46	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements