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We prove Ihara's lemma for the mod $l$ cohomology of Shimura curves,localised at a maximal ideal of the Hecke algebra, under a large imagehypothesis on the associated Galois representation. This was proved by Diamondand Taylor, for Shimura curves over $\mathbb{Q}$, under various assumptions on$l$. Our method is totally different and can avoid these assumptions, at thecost of imposing the large image hypothesis. It uses the Taylor--Wiles method,as improved by Diamond and Kisin, and the geometry of integral models ofShimura curves at an auxiliary prime.

Ihara's lemma for Shimura curves over totally real fields via patching