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.number_sets.real_numbers.nonzero_if_in_real_nonzero
2	instantiation	24, 3, 4	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
4	instantiation	5, 6, 7	⊢
	: , :
5	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
6	instantiation	24, 8, 9	⊢
	: , : , :
7	instantiation	10, 11, 12	⊢
	:
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
9	instantiation	24, 13, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
11	instantiation	15, 17, 18, 19	⊢
	: , : , :
12	instantiation	16, 17, 18, 19	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
14	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
18	instantiation	24, 20, 21	⊢
	: , : , :
19	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
21	instantiation	24, 22, 23	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
23	instantiation	24, 25, 26	⊢
	: , : , :
24	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
25	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat1