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Theorems · Theorem · group theory

Con.comap_comp

∀ {M : Type u_1} {N : Type u_2} {P : Type u_3} [inst : Mul M] [inst_1 : Mul N] [inst_2 : Mul P] (c : Con P) (g : N → P)
  (f : M → N) (hg : ∀ (x y : N), g (x * y) = g x * g y) (hf : ∀ (x y : M), f (x * y) = f x * f y),
  Con.comap (g ∘ f) ⋯ c = Con.comap f hf (Con.comap g hg c)
Defined in
Mathlib.GroupTheory.Congruence.Defs
Cited by
0 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MulMulMul

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  • Constatement and proof · cited by 152
  • Con.comapstatement · cited by 15

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