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^*	⊢
	: , :
1	theorem		⊢
	proveit.numbers.negation.pos_times_neg
2	reference	7	⊢
3	instantiation	23, 9, 5	⊢
	: , : , :
4	instantiation	6, 7	⊢
	:
5	instantiation	23, 13, 8	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
7	instantiation	23, 9, 10	⊢
	: , : , :
8	instantiation	23, 11, 12	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
10	instantiation	23, 13, 14	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
12	instantiation	23, 15, 16	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
14	instantiation	23, 17, 18	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
16	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
17	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
18	instantiation	19, 20, 21	⊢
	: , :
19	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
20	instantiation	23, 24, 22	⊢
	: , : , :
21	instantiation	23, 24, 25	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
23	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
25	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
^*equality replacement requirements