Show the Proof¶

In [1]:

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

Out[1]:

	step type	requirements	statement
0	instantiation	1, 2, 3	, ⊢
	: , : , :
1	reference	44	⊢
2	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
3	instantiation	4, 5	, ⊢
	:
4	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
5	instantiation	6, 7, 8	, ⊢
	:
6	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
7	instantiation	44, 9, 10	⊢
	: , : , :
8	instantiation	11, 12	, ⊢
	: , :
9	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
10	instantiation	13, 14, 15	⊢
	: , :
11	theorem		⊢
	proveit.numbers.addition.subtraction.nonzero_difference_if_different
12	instantiation	16, 17, 32, 18	, ⊢
	: , :
13	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
14	instantiation	19, 20, 21, 22	⊢
	: , : , :
15	instantiation	23, 24	⊢
	:
16	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_not_eq_nonzeroInt
17	instantiation	25, 26, 43, 27	⊢
	: , : , : , : , :
18	assumption		⊢
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
21	instantiation	44, 29, 28	⊢
	: , : , :
22	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
23	theorem		⊢
	proveit.numbers.negation.real_closure
24	instantiation	44, 29, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
26	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
27	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
28	instantiation	44, 31, 39	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
30	instantiation	44, 31, 32	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	instantiation	44, 33, 34	⊢
	: , : , :
33	instantiation	35, 36, 41	⊢
	: , :
34	assumption		⊢
35	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
36	instantiation	37, 38, 39	⊢
	: , :
37	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
38	instantiation	40, 41	⊢
	:
39	instantiation	44, 42, 43	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.negation.int_closure
41	instantiation	44, 45, 46	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
44	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
45	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
46	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos