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	⊢
	: , :
1	theorem		⊢
	proveit.numbers.division.div_real_closure
2	instantiation	17, 5, 43	⊢
	: , :
3	instantiation	6, 14, 7	⊢
	: , :
4	instantiation	19, 8	⊢
	:
5	instantiation	9, 10, 35	⊢
	: , :
6	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
8	instantiation	49, 23, 11	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
10	instantiation	49, 45, 12	⊢
	: , : , :
11	instantiation	13, 14, 15	⊢
	:
12	instantiation	49, 47, 16	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.exponentiation.sqrd_pos_closure
14	instantiation	17, 18, 43	⊢
	: , :
15	instantiation	19, 20	⊢
	:
16	instantiation	49, 50, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
18	instantiation	49, 22, 26	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
20	instantiation	49, 23, 24	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
24	instantiation	25, 26, 27	⊢
	: , :
25	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
26	instantiation	28, 29, 30	⊢
	: , :
27	instantiation	49, 32, 31	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
29	instantiation	49, 32, 33	⊢
	: , : , :
30	instantiation	34, 35, 36	⊢
	:
31	instantiation	49, 38, 37	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
33	instantiation	49, 38, 39	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
35	instantiation	40, 42, 43, 44	⊢
	: , : , :
36	instantiation	41, 42, 43, 44	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
39	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
43	instantiation	49, 45, 46	⊢
	: , : , :
44	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
46	instantiation	49, 47, 48	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
48	instantiation	49, 50, 51	⊢
	: , : , :
49	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
50	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
51	theorem		⊢
	proveit.numbers.numerals.decimals.nat1