rightHomologyMap_comp — Mathlib

English

Duplicate of rightHomologyMap'_comp: composition compatibility holds for rightHomologyMap' under φ₁ and φ₂.

Русский

Повторение совместимости композиции для rightHomologyMap' при φ₁ и φ₂.

LaTeX

$$$rightHomologyMap' (φ_1 ≫ φ_2) h_1 h_3 = rightHomologyMap' φ_1 h_1 h_2 \circ rightHomologyMap' φ_2 h_2 h_3$$$

Lean4

@[simp]
theorem rightHomologyMap_comp [HasRightHomology S₁] [HasRightHomology S₂] [HasRightHomology S₃] (φ₁ : S₁ ⟶ S₂)
    (φ₂ : S₂ ⟶ S₃) : rightHomologyMap (φ₁ ≫ φ₂) = rightHomologyMap φ₁ ≫ rightHomologyMap φ₂ :=
  rightHomologyMap'_comp _ _ _ _ _

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