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