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.rounding.ceil_x_ge_x
2	instantiation	3, 23, 4, 5	⊢
	: , :
3	theorem		⊢
	proveit.numbers.logarithms.log_real_pos_real_closure
4	instantiation	6, 23, 7	⊢
	: , :
5	instantiation	8, 9	⊢
	: , :
6	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
7	instantiation	10, 11, 21, 12	⊢
	: , :
8	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
9	instantiation	13, 43, 14, 15	⊢
	: , :
10	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
11	instantiation	41, 25, 16	⊢
	: , : , :
12	instantiation	17, 18	⊢
	:
13	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
15	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
16	instantiation	41, 30, 19	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
18	instantiation	41, 20, 21	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
21	instantiation	22, 23, 24	⊢
	: , :
22	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
23	instantiation	41, 25, 26	⊢
	: , : , :
24	instantiation	27, 28, 29	⊢
	:
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
26	instantiation	41, 30, 31	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
28	instantiation	32, 34, 35, 36	⊢
	: , : , :
29	instantiation	33, 34, 35, 36	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
31	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
35	instantiation	41, 37, 38	⊢
	: , : , :
36	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
38	instantiation	41, 39, 40	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
40	instantiation	41, 42, 43	⊢
	: , : , :
41	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
42	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat1