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Commit 2021-12-21 07:22 2ceda785

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feat(order/monovary): Monovariance of a pair of functions. (#10890) f monovaries with g if g i < g j → f i ≤ f j. f antivaries with g if g i < g j → f j ≤ f i. This is a way to talk about functions being monotone together, without needing an order on the index type.

Estimated changes

added theorem antivary.comp_right
added theorem antivary.dual
added theorem antivary.dual_left
added theorem antivary.dual_right
added def antivary
added theorem antivary_const_left
added theorem antivary_const_right
added theorem antivary_id_iff
added theorem antivary_on.dual
added theorem antivary_on.dual_left
added theorem antivary_on.dual_right
added def antivary_on
added theorem antivary_on_const_left
added theorem antivary_on_id_iff
added theorem antivary_on_univ
added theorem monovary.comp_right
added theorem monovary.dual
added theorem monovary.dual_left
added theorem monovary.dual_right
added def monovary
added theorem monovary_const_left
added theorem monovary_const_right
added theorem monovary_id_iff
added theorem monovary_on.dual
added theorem monovary_on.dual_left
added theorem monovary_on.dual_right
added def monovary_on
added theorem monovary_on_const_left
added theorem monovary_on_id_iff
added theorem monovary_on_self
added theorem monovary_on_univ
added theorem monovary_self
added theorem subsingleton.antivary
added theorem subsingleton.monovary