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	reference	28	⊢
2	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
3	instantiation	4, 5, 15	⊢
	: , :
4	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
5	instantiation	6, 7, 8	⊢
	: , :
6	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
7	instantiation	28, 24, 9	⊢
	: , : , :
8	instantiation	10, 22, 17, 11	⊢
	: , :
9	instantiation	28, 26, 12	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.division.div_real_closure
11	instantiation	13, 14	⊢
	: , :
12	instantiation	28, 29, 15	⊢
	: , : , :
13	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
14	instantiation	16, 21, 17, 18	⊢
	: , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
16	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
17	instantiation	19, 21, 22, 23	⊢
	: , : , :
18	instantiation	20, 21, 22, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
22	instantiation	28, 24, 25	⊢
	: , : , :
23	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	28, 26, 27	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	instantiation	28, 29, 30	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat1