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	25	⊢
2	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
3	instantiation	25, 4, 5	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
5	instantiation	6, 7, 8	⊢
	: , :
6	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
7	instantiation	25, 9, 10	⊢
	: , : , :
8	instantiation	11, 12, 13	⊢
	:
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
10	instantiation	25, 14, 15	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
12	instantiation	16, 18, 19, 20	⊢
	: , : , :
13	instantiation	17, 18, 19, 20	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
15	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
19	instantiation	25, 21, 22	⊢
	: , : , :
20	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	25, 23, 24	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	instantiation	25, 26, 27	⊢
	: , : , :
25	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
26	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat1