diff --git a/doc_src/verify_internals.rst b/doc_src/verify_internals.rst
index e4187eab..149bc978 100644
--- a/doc_src/verify_internals.rst
+++ b/doc_src/verify_internals.rst
@@ -58,8 +58,8 @@ more gracefully returning ``False`` or ``None`` in such a case.
 Verified canonical cell decompositions
 --------------------------------------
 
-..   autofunction:: snappy.verify.verifyCanonical.interval_checked_canonical_triangulation
-..   autofunction:: snappy.verify.verifyCanonical.exactly_checked_canonical_retriangulation
+..   autofunction:: snappy.verify.verify_canonical.interval_checked_canonical_triangulation
+..   autofunction:: snappy.verify.verify_canonical.exactly_checked_canonical_retriangulation
 
 Exact computations for cusp cross sections
 ------------------------------------------
diff --git a/python/__init__.py b/python/__init__.py
index 349cd584..27860cd5 100644
--- a/python/__init__.py
+++ b/python/__init__.py
@@ -774,7 +774,7 @@ def all_translations(self, verified=False, bits_prec=None):
     """
 
     if verified or bits_prec:
-        # Use the implementation in verify.cuspTranslations that uses
+        # Use the implementation in verify.cusp_translations that uses
         # tetrahedra_shapes and ComplexCuspNeighborhood
         return verify.cusp_translations_for_neighborhood(
             self, verified=verified, bits_prec=bits_prec)
diff --git a/python/verify/__init__.py b/python/verify/__init__.py
index 0528064d..19a5758f 100644
--- a/python/verify/__init__.py
+++ b/python/verify/__init__.py
@@ -2,8 +2,8 @@
 from .krawczyk_shapes_engine import *
 
 from .verifyHyperbolicity import *
-from .verifyCanonical import *
-from .cuspTranslations import *
+from .verify_canonical import *
+from .cusp_translations import *
 from .cusp_shapes import *
 from .volume import *
 from .complex_volume import *
diff --git a/python/verify/cuspTranslations.py b/python/verify/cusp_translations.py
similarity index 100%
rename from python/verify/cuspTranslations.py
rename to python/verify/cusp_translations.py
diff --git a/python/verify/test.py b/python/verify/test.py
index acb7927e..01091feb 100644
--- a/python/verify/test.py
+++ b/python/verify/test.py
@@ -59,7 +59,7 @@ def run_doctests(verbose=False, print_info=True):
             generate_test_with_shapes_engine(
                 verify.verifyHyperbolicity,
                 verify.IntervalNewtonShapesEngine),
-            verify.verifyCanonical,
+            verify.verify_canonical,
             verify.interval_tree,
             volume,
             cusp_areas,
diff --git a/python/verify/verifyCanonical.py b/python/verify/verify_canonical.py
similarity index 100%
rename from python/verify/verifyCanonical.py
rename to python/verify/verify_canonical.py