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	30	⊢
2	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
3	instantiation	4, 5, 6	⊢
	: , :
4	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
5	instantiation	7, 8, 24	⊢
	: , :
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
7	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
8	instantiation	30, 9, 10	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
10	instantiation	11, 12, 13	⊢
	: , :
11	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
12	instantiation	30, 14, 15	⊢
	: , : , :
13	instantiation	16, 17, 18	⊢
	:
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
15	instantiation	30, 19, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
17	instantiation	21, 23, 24, 25	⊢
	: , : , :
18	instantiation	22, 23, 24, 25	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
20	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
24	instantiation	30, 26, 27	⊢
	: , : , :
25	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	30, 28, 29	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
29	instantiation	30, 31, 32	⊢
	: , : , :
30	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat1