Theorems · Theorem · order theory

SupBotHom.cancel_left

∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : Max α] [inst_1 : Bot α] [inst_2 : Max β] [inst_3 : Bot β]
  [inst_4 : Max γ] [inst_5 : Bot γ] {g : SupBotHom β γ} {f₁ f₂ : SupBotHom α β},
  Function.Injective ⇑g → (g.comp f₁ = g.comp f₂ ↔ f₁ = f₂)

Defined in: Mathlib.Order.Hom.BoundedLattice
Cited by: 0 results in Mathlib
Foundations: Depth 12 from the axioms · uses Quot.sound
Assumes: Max Bot Max Bot Max Bot

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DFunLike.coestatement and proof · cited by 62,936
Botstatement and proof · cited by 96
SupBotHomstatement and proof · cited by 54
SupBotHom.compstatement and proof · cited by 12
SupBotHom.extproof · cited by 3
SupBotHom.comp_applyproof · cited by 1

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