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, 7, 8, 9*	⊢
	: , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.mult_neg_any
2	reference	12	⊢
3	reference	13	⊢
4	reference	14	⊢
5	reference	15	⊢
6	reference	16	⊢
7	reference	17	⊢
8	instantiation	40, 21, 10	⊢
	: , : , :
9	instantiation	11, 12, 13, 14, 15, 16, 17	⊢
	: , : , : , :
10	instantiation	40, 25, 18	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
13	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
14	instantiation	19	⊢
	: , :
15	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
16	instantiation	40, 21, 20	⊢
	: , : , :
17	instantiation	40, 21, 22	⊢
	: , : , :
18	instantiation	40, 23, 24	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
20	instantiation	40, 25, 26	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
22	instantiation	27, 28, 29	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	instantiation	40, 30, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
26	instantiation	40, 32, 33	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
28	instantiation	34, 35	⊢
	: , :
29	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
33	instantiation	36, 37, 38	⊢
	: , :
34	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
36	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
37	instantiation	40, 41, 39	⊢
	: , : , :
38	instantiation	40, 41, 42	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
40	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
42	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
*equality replacement requirements