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.booleans.conjunction.and_if_both
2	instantiation	4, 35, 41, 5, 6, 7^, 8^	⊢
	: , : , :
3	instantiation	9, 41, 42, 43	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
5	instantiation	10, 37, 42	⊢
	: , :
6	instantiation	11, 41, 37, 42, 12, 13	⊢
	: , : , :
7	instantiation	14, 15, 16	⊢
	: , : , :
8	instantiation	17, 18, 19	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_upper_bound
10	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
11	theorem		⊢
	proveit.numbers.ordering.less_eq_add_right_strong
12	instantiation	20, 41, 42, 43	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
14	theorem		⊢
	proveit.logic.equality.sub_right_side_into
15	instantiation	21, 29	⊢
	:
16	instantiation	22, 29, 23	⊢
	: , :
17	axiom		⊢
	proveit.logic.equality.equals_transitivity
18	instantiation	24, 25, 26, 50, 27, 28, 32, 31, 29	⊢
	: , : , : , : , : , :
19	instantiation	30, 31, 32, 33	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_lower_bound
21	theorem		⊢
	proveit.numbers.addition.elim_zero_right
22	theorem		⊢
	proveit.numbers.addition.commutation
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
24	theorem		⊢
	proveit.numbers.addition.disassociation
25	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
27	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
28	instantiation	34	⊢
	: , :
29	instantiation	48, 36, 35	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
31	instantiation	48, 36, 42	⊢
	: , : , :
32	instantiation	48, 36, 37	⊢
	: , : , :
33	instantiation	38	⊢
	:
34	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
35	instantiation	39, 42	⊢
	:
36	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
37	instantiation	40, 41, 42, 43	⊢
	: , : , :
38	axiom		⊢
	proveit.logic.equality.equals_reflexivity
39	theorem		⊢
	proveit.numbers.negation.real_closure
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
42	instantiation	48, 44, 45	⊢
	: , : , :
43	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
45	instantiation	48, 46, 47	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
47	instantiation	48, 49, 50	⊢
	: , : , :
48	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
49	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements