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Probing the speed of light is as an important test of General Relativity butthe measurements of $c$ using objects in the distant universe have been almostcompletely unexplored. In this letter, we propose an idea to use the multiplemeasurements of galactic-scale strong gravitational lensing systems with typeIa supernova acting as background sources to estimate the speed of light. Thisprovides an original method to measure the speed of light using objects locatedat different redshifts which emitted their light in a distant past. Moreover,we predict that strongly lensed SNe Ia observed by the LSST would producerobust constraints on $\Delta c/c$ at the level of $10^{-3}$. We also discusswhether the future surveys such as LSST may succeed in detecting anyhypothetical variation of $c$ predicted by theories in which fundamentalconstants have dynamical nature.

Testing the speed of light over cosmological distances: the combination of strongly lensed and unlensed supernova Ia