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