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_real_pos_closure_bin
2	instantiation	4, 5, 6, 7	⊢
	: , :
3	instantiation	8, 9, 10	⊢
	: , :
4	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
5	instantiation	31, 12, 11	⊢
	: , : , :
6	instantiation	31, 12, 13	⊢
	: , : , :
7	instantiation	14, 21	⊢
	:
8	theorem		⊢
	proveit.numbers.exponentiation.exp_real_pos_closure
9	instantiation	15, 16, 17	⊢
	:
10	instantiation	18, 25	⊢
	:
11	instantiation	31, 20, 19	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
13	instantiation	31, 20, 21	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
16	instantiation	22, 24, 25, 26	⊢
	: , : , :
17	instantiation	23, 24, 25, 26	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.negation.real_closure
19	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
20	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
21	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
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