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^, 7^	, , ⊢
	: , : , :
1	reference	12	⊢
2	instantiation	8, 9, 13, 10	⊢
	: , :
3	instantiation	11, 15, 29	⊢
	: , :
4	instantiation	11, 17, 29	⊢
	: , :
5	instantiation	12, 13, 15, 17, 14	, , ⊢
	: , : , :
6	instantiation	16, 15	⊢
	:
7	instantiation	16, 17	⊢
	:
8	theorem		⊢
	proveit.numbers.division.div_real_closure
9	instantiation	27, 21, 18	⊢
	: , : , :
10	instantiation	19, 20	⊢
	:
11	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
12	theorem		⊢
	proveit.numbers.exponentiation.exp_eq_real
13	instantiation	27, 21, 22	⊢
	: , : , :
14	assumption		⊢
15	assumption		⊢
16	theorem		⊢
	proveit.numbers.exponentiation.sqrt_of_square
17	assumption		⊢
18	instantiation	27, 24, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
20	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	27, 24, 25	⊢
	: , : , :
23	instantiation	27, 28, 26	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	instantiation	27, 28, 29	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
27	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements