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, 4, 5, 6^*	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
2	instantiation	29, 21, 7	⊢
	: , : , :
3	reference	22	⊢
4	instantiation	8, 15	⊢
	:
5	instantiation	9, 10	⊢
	:
6	instantiation	11, 17, 12, 13^*	⊢
	: , :
7	instantiation	29, 19, 14	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.negation.real_closure
9	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
10	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
11	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
12	instantiation	29, 21, 15	⊢
	: , : , :
13	instantiation	16, 17	⊢
	:
14	instantiation	29, 24, 18	⊢
	: , : , :
15	instantiation	29, 19, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
17	instantiation	29, 21, 22	⊢
	: , : , :
18	instantiation	29, 30, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
20	instantiation	29, 24, 25	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
22	instantiation	26, 27, 28	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	instantiation	29, 30, 31	⊢
	: , : , :
26	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
27	instantiation	32, 33	⊢
	: , :
28	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
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
32	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
^*equality replacement requirements