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