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	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
2	instantiation	27, 4, 5	⊢
	: , : , :
3	instantiation	6, 7, 8	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
5	instantiation	27, 9, 10	⊢
	: , : , :
6	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
7	instantiation	11, 12	⊢
	: , :
8	assumption		⊢
9	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
10	instantiation	13, 14	⊢
	:
11	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
13	theorem		⊢
	proveit.numbers.absolute_value.abs_rational_nonzero_closure
14	instantiation	15, 16, 17	⊢
	:
15	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_rational_is_rational_nonzero
16	assumption		⊢
17	instantiation	18, 22, 19	⊢
	: , :
18	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
19	instantiation	20, 21, 22	⊢
	: , :
20	theorem		⊢
	proveit.numbers.division.div_rational_nonzero_closure
21	instantiation	27, 24, 23	⊢
	: , : , :
22	instantiation	27, 24, 25	⊢
	: , : , :
23	instantiation	27, 28, 26	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
25	instantiation	27, 28, 29	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
27	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
29	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2