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Theorems · Theorem · order theory

WithBot.coe_eq_coe

∀ {α : Type u_1} {a b : α}, ↑a = ↑b ↔ a = b
Defined in
Mathlib.Order.WithBot
Cited by
19 results in Mathlib
Foundations
Depth 11 from the axioms · uses propext
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Finset.sup'_cons · cited by 10Finset.sup'_consFinset.sup'_image · cited by 9Finset.sup'_imagePolynomial.degree_eq_iff_natDegree_eq · cited by 6Polynomial.degree_eq_iff_…WithBot.coe_eq_zero · cited by 3WithBot.coe_eq_zeroFinset.sup'_map · cited by 2Finset.sup'_mapIsLocalization.height_map_of_disjoint · cited by 1IsLocalization.height_map…AlgebraicGeometry.ringKrullDim_stalk_eq_coheight · cited by 1AlgebraicGeometry.ringKru…WithBot.coe_eq_one · cited by 1WithBot.coe_eq_onePolynomial.Monic.eq_one_of_map_eq_one · cited by 1Monic.eq_one_of_map_eq_onesplits_X_pow_sub_one_of_X_pow_sub_C · cited by 1splits_X_pow_sub_one_of_X…Finset.max_erase_ne_self · cited by 1Finset.max_erase_ne_selfWithBot.ofNat_eq_coe · cited by 0WithBot.ofNat_eq_coeCategoryTheory.projectiveDimension_ne_top_iff · cited by 0CategoryTheory.projective…WithBot.coe_eq_ofNat · cited by 0WithBot.coe_eq_ofNatWithBot.coe_eq_top · cited by 0WithBot.coe_eq_topWithBot · cited by 1498WithBotWithBot.some · cited by 541WithBot.someWithBot.coe_inj · cited by 18WithBot.coe_injWithBot.coe_eq_coeCITED BYCITES

Cites3

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Cited by19

Results whose statement or proof uses this declaration.