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	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	3, 4, 14, 5, 6^*	⊢
	: , :
3	theorem		⊢
	proveit.numbers.division.div_as_mult
4	instantiation	29, 18, 24	⊢
	: , : , :
5	instantiation	7, 8	⊢
	: , :
6	instantiation	9, 10	⊢
	:
7	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
8	instantiation	11, 21, 17, 12	⊢
	: , :
9	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
10	instantiation	13, 14, 15	⊢
	: , :
11	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
12	instantiation	16, 21, 24, 22	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
14	instantiation	29, 18, 17	⊢
	: , : , :
15	instantiation	29, 18, 19	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
17	instantiation	20, 21, 24, 22	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	instantiation	23, 24	⊢
	:
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
22	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
23	theorem		⊢
	proveit.numbers.negation.real_closure
24	instantiation	29, 25, 26	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
26	instantiation	29, 27, 28	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	instantiation	29, 30, 31	⊢
	: , : , :
29	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements