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	⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	6, 5	⊢
	: , : , :
3	instantiation	6, 7	⊢
	: , : , :
4	instantiation	8, 11	⊢
	:
5	instantiation	10, 9	⊢
	:
6	axiom		⊢
	proveit.logic.equality.substitution
7	instantiation	10, 11	⊢
	:
8	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
9	instantiation	39, 13, 12	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.division.frac_one_denom
11	instantiation	39, 13, 14	⊢
	: , : , :
12	instantiation	39, 16, 15	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
14	instantiation	39, 16, 17	⊢
	: , : , :
15	instantiation	39, 18, 35	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
17	instantiation	39, 18, 19	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
19	instantiation	20, 21, 22	⊢
	: , : , :
20	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
21	instantiation	23, 24	⊢
	: , :
22	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_in_m_domain
23	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
24	instantiation	25, 26, 27	⊢
	: , :
25	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
26	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
27	instantiation	28, 29, 30	⊢
	: , :
28	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
29	instantiation	31, 32, 33	⊢
	: , :
30	instantiation	34, 35	⊢
	:
31	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
32	instantiation	39, 40, 36	⊢
	: , : , :
33	instantiation	39, 37, 38	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.negation.int_closure
35	instantiation	39, 40, 41	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
37	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
38	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat1