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, 4, 5, 6, 7, 8, 9, 10	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.association
2	reference	45	⊢
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	11	⊢
	: , : , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
8	instantiation	46, 14, 12	⊢
	: , : , :
9	instantiation	46, 14, 13	⊢
	: , : , :
10	instantiation	46, 14, 15	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
12	instantiation	46, 31, 16	⊢
	: , : , :
13	instantiation	46, 17, 18	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
15	instantiation	19, 20, 21	⊢
	: , :
16	instantiation	46, 33, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
19	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
20	instantiation	23, 24, 25, 26	⊢
	: , : , :
21	instantiation	27, 28	⊢
	:
22	instantiation	46, 44, 29	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
25	instantiation	46, 31, 30	⊢
	: , : , :
26	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
27	theorem		⊢
	proveit.numbers.negation.real_closure
28	instantiation	46, 31, 32	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
30	instantiation	46, 33, 41	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	46, 33, 34	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
34	instantiation	46, 35, 36	⊢
	: , : , :
35	instantiation	37, 38, 43	⊢
	: , :
36	assumption		⊢
37	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
38	instantiation	39, 40, 41	⊢
	: , :
39	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
40	instantiation	42, 43	⊢
	:
41	instantiation	46, 44, 45	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.negation.int_closure
43	instantiation	46, 47, 48	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
46	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
48	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos