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	⊢
	:
1	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
2	instantiation	32, 3, 4	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
4	instantiation	5, 6, 7	⊢
	: , :
5	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
6	instantiation	8, 21, 19	⊢
	: , :
7	instantiation	8, 9, 19	⊢
	: , :
8	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
9	instantiation	10, 11, 12	⊢
	: , :
10	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
11	instantiation	32, 28, 13	⊢
	: , : , :
12	instantiation	14, 26, 21, 15	⊢
	: , :
13	instantiation	32, 30, 16	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.division.div_real_closure
15	instantiation	17, 18	⊢
	: , :
16	instantiation	32, 33, 19	⊢
	: , : , :
17	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
18	instantiation	20, 25, 21, 22	⊢
	: , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
20	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
21	instantiation	23, 25, 26, 27	⊢
	: , : , :
22	instantiation	24, 25, 26, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
26	instantiation	32, 28, 29	⊢
	: , : , :
27	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
29	instantiation	32, 30, 31	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
31	instantiation	32, 33, 34	⊢
	: , : , :
32	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat1