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.commutation
2	instantiation	22, 5, 4	⊢
	: , : , :
3	instantiation	22, 5, 6	⊢
	: , : , :
4	instantiation	22, 7, 8	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
6	instantiation	9, 10, 11, 12	⊢
	: , :
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
9	theorem		⊢
	proveit.numbers.division.div_real_closure
10	instantiation	22, 14, 13	⊢
	: , : , :
11	instantiation	22, 14, 15	⊢
	: , : , :
12	instantiation	16, 17	⊢
	:
13	instantiation	22, 19, 18	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
15	instantiation	22, 19, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
17	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
18	instantiation	22, 23, 21	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
20	instantiation	22, 23, 24	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
22	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
23	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat2