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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 8, 34, 50, 10, 5, 12, 13, 11, 14	⊢
	: , : , : , : , : , : , :
3	instantiation	6, 50, 7, 8, 9, 10, 11, 12, 13, 14	⊢
	: , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
5	instantiation	15	⊢
	: , :
6	theorem		⊢
	proveit.numbers.multiplication.association
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
8	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
9	instantiation	16	⊢
	: , : , :
10	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
11	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
12	instantiation	51, 19, 17	⊢
	: , : , :
13	instantiation	51, 19, 18	⊢
	: , : , :
14	instantiation	51, 19, 20	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
17	instantiation	51, 36, 21	⊢
	: , : , :
18	instantiation	51, 22, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	24, 25, 26	⊢
	: , :
21	instantiation	51, 38, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
24	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
25	instantiation	28, 29, 30, 31	⊢
	: , : , :
26	instantiation	32, 33	⊢
	:
27	instantiation	51, 49, 34	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
30	instantiation	51, 36, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
32	theorem		⊢
	proveit.numbers.negation.real_closure
33	instantiation	51, 36, 37	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
35	instantiation	51, 38, 46	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
37	instantiation	51, 38, 39	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	instantiation	51, 40, 41	⊢
	: , : , :
40	instantiation	42, 43, 48	⊢
	: , :
41	assumption		⊢
42	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
43	instantiation	44, 45, 46	⊢
	: , :
44	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
45	instantiation	47, 48	⊢
	:
46	instantiation	51, 49, 50	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.negation.int_closure
48	instantiation	51, 52, 53	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
51	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
52	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
53	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos