Mathlib Map

Theorems · Theorem · combinatorics

Finset.map_refl

∀ {α : Type u_1} {s : Finset α}, Finset.map (Function.Embedding.refl α) s = s
Defined in
Mathlib.Data.Finset.Image
Cited by
32 results in Mathlib
Foundations
Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

ContextFreeGrammar.reverse_reverse · cited by 2ContextFreeGrammar.revers…Finset.mapRange_finsuppAntidiag_eq · cited by 1Finset.mapRange_finsuppAn…Finset.Icc_orderDual_def · cited by 1Finset.Icc_orderDual_defFinset.Icc_toDual · cited by 1Finset.Icc_toDualFinset.Ioc_ofDual · cited by 0Finset.Ioc_ofDualFinset.Ioc_orderDual_def · cited by 0Finset.Ioc_orderDual_defIic_orderDual_def · cited by 0Iic_orderDual_defFormalMultilinearSeries.changeOriginSeriesTerm_changeOriginIndexEquiv_symm · cited by 0FormalMultilinearSeries.c…Finset.map_cast_heq · cited by 0Finset.map_cast_heqIio_orderDual_def · cited by 0Iio_orderDual_defFinset.Ioc_toDual · cited by 0Finset.Ioc_toDualEquiv.finsetCongr_refl · cited by 0Equiv.finsetCongr_reflFinset.Ico_ofDual · cited by 0Finset.Ico_ofDualFinset.Ioi_ofDual · cited by 0Finset.Ioi_ofDualFinset.Ico_orderDual_def · cited by 0Finset.Ico_orderDual_defFinset · cited by 13712FinsetFinset.map · cited by 747Finset.mapFinset.ext · cited by 565Finset.extFunction.Embedding.refl · cited by 29Embedding.reflFinset.map_reflCITED BYCITES

Cites4

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Cited by32

Results whose statement or proof uses this declaration.