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	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.ordering.less_add_right
2	instantiation	7, 9, 10	⊢
	: , :
3	instantiation	7, 9, 11	⊢
	: , :
4	reference	9	⊢
5	instantiation	8, 9, 10, 11, 12, 13	⊢
	: , : , :
6	instantiation	14, 41	⊢
	:
7	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
8	theorem		⊢
	proveit.numbers.multiplication.strong_bound_via_right_factor_bound
9	instantiation	39, 16, 15	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
11	instantiation	39, 16, 17	⊢
	: , : , :
12	instantiation	18, 19, 20	⊢
	: , : , :
13	instantiation	21, 22	⊢
	:
14	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
15	instantiation	39, 23, 38	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
17	instantiation	39, 23, 24	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
19	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
20	instantiation	25, 29, 30, 27	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
22	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	instantiation	39, 26, 27	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
26	instantiation	28, 29, 30	⊢
	: , :
27	assumption		⊢
28	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
29	instantiation	39, 40, 31	⊢
	: , : , :
30	instantiation	32, 33, 34	⊢
	: , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
32	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
33	instantiation	39, 35, 36	⊢
	: , : , :
34	instantiation	37, 38	⊢
	:
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
36	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
37	theorem		⊢
	proveit.numbers.negation.int_closure
38	instantiation	39, 40, 41	⊢
	: , : , :
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat2