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	, ⊢
	: , :
1	theorem		⊢
	proveit.numbers.addition.subtraction.pos_difference
2	instantiation	3, 4, 5	, ⊢
	: , : , :
3	axiom		⊢
	proveit.numbers.ordering.transitivity_less_less
4	instantiation	6, 11, 33, 7	⊢
	: , : , :
5	instantiation	18, 8, 9	, ⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_upper_bound
7	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
8	instantiation	10, 33, 11, 12, 13, 14^*	⊢
	: , : , :
9	instantiation	25, 15, 39, 16	, ⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
12	instantiation	48, 36, 17	⊢
	: , : , :
13	instantiation	18, 19, 20	⊢
	: , : , :
14	instantiation	21, 22, 23	⊢
	: , : , :
15	instantiation	38, 24, 42	⊢
	: , :
16	assumption		⊢
17	instantiation	48, 41, 24	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
19	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
20	instantiation	25, 42, 35, 31	⊢
	: , : , :
21	theorem		⊢
	proveit.logic.equality.sub_right_side_into
22	instantiation	26, 28	⊢
	:
23	instantiation	27, 28, 29	⊢
	: , :
24	instantiation	48, 30, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
26	theorem		⊢
	proveit.numbers.addition.elim_zero_right
27	theorem		⊢
	proveit.numbers.addition.commutation
28	instantiation	48, 32, 33	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
30	instantiation	34, 42, 35	⊢
	: , :
31	assumption		⊢
32	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
33	instantiation	48, 36, 37	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
35	instantiation	38, 39, 40	⊢
	: , :
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
37	instantiation	48, 41, 42	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
39	instantiation	48, 43, 44	⊢
	: , : , :
40	instantiation	45, 46	⊢
	:
41	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
42	instantiation	48, 49, 47	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
44	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
45	theorem		⊢
	proveit.numbers.negation.int_closure
46	instantiation	48, 49, 50	⊢
	: , : , :
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_within_int
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements