Theorems · Theorem · category theory

AlexDisc.mk.injEq

∀ (toTopCat : TopCat) [is_alexandrovDiscrete : AlexandrovDiscrete ↑toTopCat] (toTopCat_1 : TopCat)
  (is_alexandrovDiscrete_1 : AlexandrovDiscrete ↑toTopCat_1),
  ({ toTopCat := toTopCat, is_alexandrovDiscrete := is_alexandrovDiscrete } =
      { toTopCat := toTopCat_1, is_alexandrovDiscrete := is_alexandrovDiscrete_1 }) =
    (toTopCat = toTopCat_1)

Defined in: Mathlib.Topology.Order.Category.AlexDisc
Cited by: 0 results in Mathlib
Foundations: Depth 10 from the axioms · uses propext
Assumes: AlexandrovDiscrete

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TopCat.carrierstatement and proof · cited by 3,184
TopCatstatement and proof · cited by 1,889
AlexandrovDiscretestatement and proof · cited by 45
AlexDiscstatement · cited by 13
AlexDisc.mk.injproof · cited by 1

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