Using filter_if to filter based on a criteria

I am trying to filter a dataframe based on the column "type" and apply a filter criteria on "Date" if "type" matches. Here is an example:

df <- tibble(type = c("A","A","A","A","B","B","B","B","C","C","C","C"),
           Date = ymd(c(20190101,20190105,20190110,20191231,20190530,20190630,20190730,20180630,20190730,20190112,20191230,20181215)))

    A_date <- c(ymd(2019-01-05),ymd(2019-12-31))
    B_date <- c(ymd(2019-05-30),ymd(2019-07-30))
    C_date <- c(ymd(2019-01-01),ymd(2019-12-15))

df
# A tibble: 12 x 2
   type  Date      
   <chr> <date>    
 1 A     2019-01-01
 2 A     2019-01-05
 3 A     2019-01-10
 4 A     2019-12-31
 5 B     2019-05-30
 6 B     2019-06-30
 7 B     2019-07-30
 8 B     2018-06-30
 9 C     2019-07-30
10 C     2019-01-12
11 C     2019-12-30
12 C     2018-12-15

I want to apply a filter such that if type is "A", then filter for all rows with type "A" with Date between A_date, and do the same for "B" and "C". Such that the resulting dataframe would be:

# A tibble: 8 x 2
   type  Date      
   <chr> <date>    
 1 A     2019-01-05
 2 A     2019-01-10
 3 A     2019-12-31
 4 B     2019-05-30
 5 B     2019-06-30
 6 B     2019-07-30
 7 C     2019-07-30
 8 C     2019-01-12

Is it possible to do this with tidyverse's "filter_if"? If not, is there any other solutions? Thanks a lot!