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