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.core_expr_types.tuples.tuple_portion_substitution
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
3	reference	10	⊢
4	instantiation	8	⊢
	: , :
5	instantiation	9, 10	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	11, 12	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
9	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
10	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
11	axiom		⊢
	proveit.core_expr_types.tuples.empty_range_def
12	instantiation	13, 14	⊢
	:
13	theorem		⊢
	proveit.numbers.addition.elim_zero_left
14	instantiation	21, 15, 16	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
16	instantiation	21, 17, 18	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
18	instantiation	21, 19, 20	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
20	instantiation	21, 22, 23	⊢
	: , : , :
21	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
22	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat1