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	22	⊢
2	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
3	instantiation	22, 4, 5	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
5	instantiation	22, 6, 7	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
7	instantiation	8, 9	⊢
	:
8	theorem		⊢
	proveit.numbers.absolute_value.abs_rational_nonzero_closure
9	instantiation	10, 11, 12	⊢
	:
10	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_rational_is_rational_nonzero
11	assumption		⊢
12	instantiation	13, 17, 14	⊢
	: , :
13	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
14	instantiation	15, 16, 17	⊢
	: , :
15	theorem		⊢
	proveit.numbers.division.div_rational_nonzero_closure
16	instantiation	22, 19, 18	⊢
	: , : , :
17	instantiation	22, 19, 20	⊢
	: , : , :
18	instantiation	22, 23, 21	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
20	instantiation	22, 23, 24	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
22	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
23	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
24	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2