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^	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.distribute_through_subtract
2	reference	61	⊢
3	reference	21	⊢
4	reference	23	⊢
5	reference	19	⊢
6	reference	12	⊢
7	instantiation	62, 32, 10	⊢
	: , : , :
8	instantiation	11, 12	⊢
	:
9	instantiation	13, 14, 15	⊢
	: , : , :
10	instantiation	16, 31, 33	⊢
	: , :
11	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
12	instantiation	62, 32, 17	⊢
	: , : , :
13	axiom		⊢
	proveit.logic.equality.equals_transitivity
14	instantiation	18, 61, 22, 21, 24, 23, 19, 25, 26	⊢
	: , : , : , : , : , :
15	instantiation	20, 21, 22, 23, 24, 25, 26	⊢
	: , : , : , :
16	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
17	instantiation	27, 28	⊢
	:
18	theorem		⊢
	proveit.numbers.multiplication.disassociation
19	instantiation	62, 32, 29	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
21	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
22	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
23	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
24	instantiation	30	⊢
	: , :
25	instantiation	62, 32, 31	⊢
	: , : , :
26	instantiation	62, 32, 33	⊢
	: , : , :
27	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
28	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
29	instantiation	62, 36, 34	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
31	instantiation	62, 36, 35	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
33	instantiation	62, 36, 37	⊢
	: , : , :
34	instantiation	62, 38, 54	⊢
	: , : , :
35	instantiation	62, 38, 39	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
37	instantiation	62, 40, 41	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	instantiation	62, 42, 43	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
41	instantiation	44, 45, 46	⊢
	: , :
42	instantiation	47, 48, 59	⊢
	: , :
43	assumption		⊢
44	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
45	instantiation	62, 49, 50	⊢
	: , : , :
46	instantiation	58, 51	⊢
	:
47	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
48	instantiation	52, 53, 54	⊢
	: , :
49	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
50	instantiation	62, 55, 56	⊢
	: , : , :
51	instantiation	62, 63, 57	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
53	instantiation	58, 59	⊢
	:
54	instantiation	62, 60, 61	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
56	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
57	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
58	theorem		⊢
	proveit.numbers.negation.int_closure
59	instantiation	62, 63, 64	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
61	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
62	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
63	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
64	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
^*equality replacement requirements