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	6	⊢
2	instantiation	10, 4	⊢
	: , : , :
3	instantiation	10, 5	⊢
	: , : , :
4	instantiation	6, 7, 8	⊢
	: , : , :
5	instantiation	10, 9	⊢
	: , : , :
6	axiom		⊢
	proveit.logic.equality.equals_transitivity
7	instantiation	10, 11	⊢
	: , : , :
8	instantiation	12, 15	⊢
	:
9	instantiation	13, 15	⊢
	:
10	axiom		⊢
	proveit.logic.equality.substitution
11	instantiation	14, 15	⊢
	:
12	theorem		⊢
	proveit.numbers.division.frac_one_denom
13	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
14	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
15	instantiation	26, 16, 17	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
17	instantiation	18, 19, 20, 21	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
20	instantiation	26, 22, 23	⊢
	: , : , :
21	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	26, 24, 25	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	instantiation	26, 27, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat1