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	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
2	reference	27	⊢
3	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
4	instantiation	8	⊢
	: , :
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	9, 10, 11, 12	⊢
	: , :
7	reference	11	⊢
8	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
9	theorem		⊢
	proveit.numbers.division.div_complex_closure
10	instantiation	25, 14, 13	⊢
	: , : , :
11	instantiation	25, 14, 15	⊢
	: , : , :
12	instantiation	16, 17	⊢
	:
13	instantiation	25, 19, 18	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
15	instantiation	25, 19, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
17	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
18	instantiation	25, 22, 21	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
20	instantiation	25, 22, 23	⊢
	: , : , :
21	instantiation	25, 26, 24	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
23	instantiation	25, 26, 27	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
25	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
26	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat2