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.multiplication.mult_complex_closure_bin
2	instantiation	4, 5, 6	⊢
	: , :
3	instantiation	38, 8, 7	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
5	instantiation	38, 8, 26	⊢
	: , : , :
6	instantiation	38, 8, 9	⊢
	: , : , :
7	instantiation	12, 10, 11	⊢
	: , :
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
9	instantiation	12, 13, 14	⊢
	: , :
10	instantiation	38, 34, 15	⊢
	: , : , :
11	instantiation	16, 32, 26, 17	⊢
	: , :
12	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
13	instantiation	38, 34, 18	⊢
	: , : , :
14	instantiation	19, 32	⊢
	:
15	instantiation	38, 36, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.division.div_real_closure
17	instantiation	21, 22	⊢
	: , :
18	instantiation	38, 36, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.negation.real_closure
20	instantiation	38, 39, 24	⊢
	: , : , :
21	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
22	instantiation	25, 31, 26, 27	⊢
	: , :
23	instantiation	38, 39, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
25	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
26	instantiation	29, 31, 32, 33	⊢
	: , : , :
27	instantiation	30, 31, 32, 33	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
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