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