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^*	⊢
	: , : , : , :
1	theorem		⊢
	proveit.numbers.addition.rational_pair_addition
2	reference	25	⊢
3	reference	30	⊢
4	instantiation	7, 12	⊢
	:
5	instantiation	8, 9, 10	⊢
	: , : , :
6	instantiation	11, 12	⊢
	:
7	theorem		⊢
	proveit.numbers.division.frac_one_denom
8	axiom		⊢
	proveit.logic.equality.equals_transitivity
9	instantiation	13, 28, 14, 15, 16, 17	⊢
	: , : , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_1
11	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
12	instantiation	31, 23, 18	⊢
	: , : , :
13	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
14	instantiation	19	⊢
	: , :
15	instantiation	19	⊢
	: , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
17	instantiation	20, 21	⊢
	:
18	instantiation	31, 26, 22	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
20	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
21	instantiation	31, 23, 24	⊢
	: , : , :
22	instantiation	31, 29, 25	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	instantiation	31, 26, 27	⊢
	: , : , :
25	instantiation	31, 32, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	31, 29, 30	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	instantiation	31, 32, 33	⊢
	: , : , :
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements