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Theorem Diffie-Hellman

i2 = i ^ i1 |%| j, i4 = i ^ i3 |%| j, prime(j), 1 < i, i < j, 0 < i1, i1 < j, 0 < i3, i3 < j ⊦ i2 ^ i3 |%| j = i4 ^ i1 |%| j

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment: A = g^a mod p, B = g^b mod p => A^b mod p = B^a mod p
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 8
Used lemmas: mod-pot-pot,
Used spec theorems:
- int-pot/pot-pot
Used simplifier rules: