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^	⊢
	: , : , : , :
1	theorem		⊢
	proveit.numbers.addition.rational_pair_addition
2	reference	31	⊢
3	reference	29	⊢
4	instantiation	6, 22, 7	⊢
	:
5	instantiation	8, 9, 10	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.division.frac_cancel_complete
7	instantiation	11, 12	⊢
	:
8	axiom		⊢
	proveit.logic.equality.equals_transitivity
9	instantiation	13, 32, 14, 15, 16, 17	⊢
	: , : , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
11	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
12	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
13	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
14	instantiation	18	⊢
	: , :
15	instantiation	18	⊢
	: , :
16	instantiation	19, 20	⊢
	:
17	instantiation	21, 22	⊢
	:
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
19	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
20	instantiation	33, 24, 23	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
22	instantiation	33, 24, 25	⊢
	: , : , :
23	instantiation	33, 27, 26	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
25	instantiation	33, 27, 28	⊢
	: , : , :
26	instantiation	33, 30, 29	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
28	instantiation	33, 30, 31	⊢
	: , : , :
29	instantiation	33, 34, 32	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
31	instantiation	33, 34, 35	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements