Mathbox for Alexander van der Vekens |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > df-afv | Structured version Visualization version Unicode version |
Description: Alternative definition of the value of a function, ''', also known as function application. In contrast to (see df-fv 5896 and ndmfv 6218), ''' if F is not defined for A! (Contributed by Alexander van der Vekens, 25-May-2017.) |
Ref | Expression |
---|---|
df-afv | ''' defAt |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA | . . 3 | |
2 | cF | . . 3 | |
3 | 1, 2 | cafv 41194 | . 2 ''' |
4 | 1, 2 | wdfat 41193 | . . 3 defAt |
5 | vx | . . . . . 6 | |
6 | 5 | cv 1482 | . . . . 5 |
7 | 1, 6, 2 | wbr 4653 | . . . 4 |
8 | 7, 5 | cio 5849 | . . 3 |
9 | cvv 3200 | . . 3 | |
10 | 4, 8, 9 | cif 4086 | . 2 defAt |
11 | 3, 10 | wceq 1483 | 1 ''' defAt |
Colors of variables: wff setvar class |
This definition is referenced by: dfafv2 41212 |
Copyright terms: Public domain | W3C validator |