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