Function lemma_u32_masked_bit_keep 

pub broadcast proof fn lemma_u32_masked_bit_keep(word: u32, mask: u32, k: int, b: int)

requires

0 < k <= 32,

0 <= b < k,

mask == (1u32 << (k as usize)) - 1u32,

ensures

u32_bit_is_set(word & mask, b) == u32_bit_is_set(word, b),

Masking with the low-k-bits mask keeps every bit below k unchanged.