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, 8, 9^*	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.association
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	28	⊢
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	10	⊢
	: , :
7	instantiation	26, 12, 11	⊢
	: , : , :
8	instantiation	26, 12, 13	⊢
	: , : , :
9	instantiation	14, 15, 16	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	26, 18, 17	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
13	instantiation	26, 18, 19	⊢
	: , : , :
14	axiom		⊢
	proveit.logic.equality.equals_transitivity
15	instantiation	20, 21	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.mult_8_2
17	instantiation	26, 23, 22	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
19	instantiation	26, 23, 24	⊢
	: , : , :
20	axiom		⊢
	proveit.logic.equality.substitution
21	theorem		⊢
	proveit.numbers.numerals.decimals.mult_4_2
22	instantiation	26, 27, 25	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	instantiation	26, 27, 28	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
26	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements