str_detect for multiple pattern within each row

Is there a way to filter rows based on match on 2 strings. For eg I want to get all the rows with name that contain won and le.

df <- data.frame(name = c("Cathy Wu","won Xion le","Matt le won","stephen leuig"),
                 value = 5:4)

name    value
<chr>   <int>
Cathy le    5
won Xion le 6
Matt le won 7
stephen won 8
James Matt  9

The output that I am looking for is;

name    value
<chr>   <int>
won Xion le 6
Matt le won 7

If I try df %>% filter(str_detect(name,"won|le")) then the result is as follows, as here it is doing an or (|)

name    value
<chr>   <int>
Cathy le    5
won Xion le 6
Matt le won 7
stephen won 8

What I am looking for is something like "won&&le". Can I achieve this using str_detect.