Theorems · Theorem · order theory
BotHom.cancel_left
∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : Bot α] [inst_1 : Bot β] [inst_2 : Bot γ] {g : BotHom β γ}
{f₁ f₂ : BotHom α β}, Function.Injective ⇑g → (g.comp f₁ = g.comp f₂ ↔ f₁ = f₂)- Defined in
- Mathlib.Order.Hom.Bounded
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Botstatement and proof · cited by 96
- BotHomstatement and proof · cited by 37
- BotHom.compstatement and proof · cited by 12
- BotHom.extproof · cited by 5
- BotHom.comp_applyproof · cited by 1
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