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Theorems · Theorem · group theory

AddCommGroup.modEq_rfl

∀ {M : Type u_1} [inst : AddCommMonoid M] {a p : M}, a ≡ a [PMOD p]
Defined in
Mathlib.Algebra.Group.ModEq
Cited by
8 results in Mathlib
Foundations
Depth 8 from the axioms · uses propext
Assumes
AddCommMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddCommGroup.ModEq.sub_right_cancel' · cited by 0ModEq.sub_right_cancel'AddCommGroup.ModEq.add_left · cited by 0ModEq.add_leftAddCommGroup.ModEq.add_left_cancel' · cited by 0ModEq.add_left_cancel'AddCommGroup.ModEq.add_right · cited by 0ModEq.add_rightAddCommGroup.ModEq.add_right_cancel' · cited by 0ModEq.add_right_cancel'AddCommGroup.ModEq.sub_left · cited by 0ModEq.sub_leftAddCommGroup.ModEq.sub_left_cancel' · cited by 0ModEq.sub_left_cancel'AddCommGroup.ModEq.sub_right · cited by 0ModEq.sub_rightAddCommMonoid · cited by 12281AddCommMonoidAddCommGroup.ModEq · cited by 107AddCommGroup.ModEqAddCommGroup.modEq_refl · cited by 2AddCommGroup.modEq_reflAddCommGroup.modEq_rflCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by8

Results whose statement or proof uses this declaration.